An, Ling; Ling, Liming; Zhang, Xiaoen Inverse scattering transform for the integrable fractional derivative nonlinear Schrödinger equation. (English) Zbl 07808473 Physica D 458, Article ID 133888, 18 p. (2024). MSC: 35Q55 35Q41 35Q15 35C08 35C99 37K15 37K10 26A33 35R11 PDFBibTeX XMLCite \textit{L. An} et al., Physica D 458, Article ID 133888, 18 p. (2024; Zbl 07808473) Full Text: DOI arXiv
Wang, Sheng-Nan; Yu, Guo-Fu Rational and semi-rational solutions to the nonlocal Davey-Stewartson III equation. (English) Zbl 07793553 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107739, 15 p. (2024). MSC: 35Q55 35Q41 37K10 35C08 35R09 PDFBibTeX XMLCite \textit{S.-N. Wang} and \textit{G.-F. Yu}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107739, 15 p. (2024; Zbl 07793553) Full Text: DOI
Wegner, Robert Global-in-time well-posedness of the one-dimensional hydrodynamic Gross-Pitaevskii equations without vacuum. (English) Zbl 1527.35395 Z. Angew. Math. Phys. 74, No. 5, Paper No. 194, 29 p. (2023). MSC: 35Q55 35Q31 35Q53 35A01 35A02 35C08 37K10 76N10 42B25 35R10 PDFBibTeX XMLCite \textit{R. Wegner}, Z. Angew. Math. Phys. 74, No. 5, Paper No. 194, 29 p. (2023; Zbl 1527.35395) Full Text: DOI arXiv OA License
Congy, T.; El, G. A.; Roberti, G.; Tovbis, A. Dispersive hydrodynamics of soliton condensates for the Korteweg-de Vries equation. (English) Zbl 1527.35347 J. Nonlinear Sci. 33, No. 6, Paper No. 104, 45 p. (2023). MSC: 35Q53 35Q35 35C08 35R09 37K10 37K15 37K35 37K40 35L60 76L05 76P05 82C40 82D05 35R60 PDFBibTeX XMLCite \textit{T. Congy} et al., J. Nonlinear Sci. 33, No. 6, Paper No. 104, 45 p. (2023; Zbl 1527.35347) Full Text: DOI arXiv OA License
Breiding, Paul; Çelik, Türkü Özlüm; Duff, Timothy; Heaton, Alexander; Maraj, Aida; Sattelberger, Anna-Laura; Venturello, Lorenzo; Yürük, Oǧuzhan Nonlinear algebra and applications. (English) Zbl 1522.13040 Numer. Algebra Control Optim. 13, No. 1, 81-116 (2023). Reviewer: Hanieh Keneshlou (Leipzig) MSC: 13P25 14Q20 62R01 PDFBibTeX XMLCite \textit{P. Breiding} et al., Numer. Algebra Control Optim. 13, No. 1, 81--116 (2023; Zbl 1522.13040) Full Text: DOI arXiv
Stȩpień, Łukasz T. Some exact solutions of \(ABC\) and Martínez Alonso-Shabat equations. (English) Zbl 1527.14078 J. Geom. Symmetry Phys. 66, 47-58 (2023). Reviewer: Pietro Giavedoni (Wien) MSC: 14H70 35Q99 PDFBibTeX XMLCite \textit{Ł. T. Stȩpień}, J. Geom. Symmetry Phys. 66, 47--58 (2023; Zbl 1527.14078) Full Text: DOI Link
Sebogodi, M. C.; Muatjetjeja, B.; Adem, A. R. Exact solutions and conservation laws of a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation. (English) Zbl 07727067 Int. J. Theor. Phys. 62, No. 8, Paper No. 165, 15 p. (2023). MSC: 35Q53 35C08 22E70 37K10 37K35 PDFBibTeX XMLCite \textit{M. C. Sebogodi} et al., Int. J. Theor. Phys. 62, No. 8, Paper No. 165, 15 p. (2023; Zbl 07727067) Full Text: DOI
Pham Loi Vu Inverse scattering problems and their application to nonlinear integrable equations. 2nd edition. (English) Zbl 07701594 Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-032-42921-2/hbk; 978-1-032-44116-0; 978-1-003-37054-3/ebook). xxix, 422 p. (2023). Reviewer: Rakib Efendiev (Baku) MSC: 35-01 35R30 37Kxx PDFBibTeX XMLCite \textit{Pham Loi Vu}, Inverse scattering problems and their application to nonlinear integrable equations. 2nd edition. Boca Raton, FL: CRC Press (2023; Zbl 07701594) Full Text: DOI
Gusu, Daba Meshesha; Gudeta, Wakjira Solving nonlinear partial differential equations of special kinds of 3rd order using balance method and its models. (English) Zbl 1519.35271 Int. J. Differ. Equ. 2023, Article ID 7663326, 28 p. (2023). MSC: 35Q53 35Q51 37K10 35C08 35C07 76B15 PDFBibTeX XMLCite \textit{D. M. Gusu} and \textit{W. Gudeta}, Int. J. Differ. Equ. 2023, Article ID 7663326, 28 p. (2023; Zbl 1519.35271) Full Text: DOI
Berntson, Bjorn K.; Klabbers, Rob Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics. (English) Zbl 07690490 Nonlinearity 36, No. 6, 3068-3108 (2023). MSC: 35Q51 35C08 33E05 35B10 37K20 37K35 37K40 PDFBibTeX XMLCite \textit{B. K. Berntson} and \textit{R. Klabbers}, Nonlinearity 36, No. 6, 3068--3108 (2023; Zbl 07690490) Full Text: DOI arXiv
Choi, Brian; Aceves, Alejandro Continuum limit of 2D fractional nonlinear Schrödinger equation. (English) Zbl 1514.35405 J. Evol. Equ. 23, No. 2, Paper No. 30, 35 p. (2023). MSC: 35Q55 35Q41 35Q40 35Q60 78A60 35B30 35B44 37K60 26A33 35R11 PDFBibTeX XMLCite \textit{B. Choi} and \textit{A. Aceves}, J. Evol. Equ. 23, No. 2, Paper No. 30, 35 p. (2023; Zbl 1514.35405) Full Text: DOI arXiv
Devi, Preeti; Singh, K. Symmetry analysis of the (3+1) dimensional Kadomtsev-Petviashvili equation with variable coefficients and an arbitrary nonlinear term. (English) Zbl 1509.37085 Int. J. Dyn. Syst. Differ. Equ. 13, No. 1, 1-21 (2023). MSC: 37K10 35B06 35A30 34A34 76M60 PDFBibTeX XMLCite \textit{P. Devi} and \textit{K. Singh}, Int. J. Dyn. Syst. Differ. Equ. 13, No. 1, 1--21 (2023; Zbl 1509.37085) Full Text: DOI
Vachaspati, Tanmay Kinks and domain walls. An introduction to classical and quantum solitons. Reprint of the 2006 edition. (English) Zbl 1506.35001 Cambridge: Cambridge University Press (ISBN 978-1-00-929041-8/hbk; 978-1-00-929042-5/pbk; 978-1-00-929045-6/ebook). xiii, 176 p., open access (2022). MSC: 35-01 35Q51 35Q53 37K40 81T10 35L70 37K45 37K60 PDFBibTeX XMLCite \textit{T. Vachaspati}, Kinks and domain walls. An introduction to classical and quantum solitons. Reprint of the 2006 edition. Cambridge: Cambridge University Press (2022; Zbl 1506.35001) Full Text: DOI
Ablowitz, Mark J.; Been, Joel B.; Carr, Lincoln D. Integrable fractional modified Korteweg-deVries, sine-Gordon, and sinh-Gordon equations. (English) Zbl 1510.35363 J. Phys. A, Math. Theor. 55, No. 38, Article ID 384010, 22 p. (2022). MSC: 35R11 35R30 37K15 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., J. Phys. A, Math. Theor. 55, No. 38, Article ID 384010, 22 p. (2022; Zbl 1510.35363) Full Text: DOI arXiv
Yan, Zhenya New integrable multi-Lévy-index and mixed fractional nonlinear soliton hierarchies. (English) Zbl 1508.35205 Chaos Solitons Fractals 164, Article ID 112758, 6 p. (2022). MSC: 35R11 37K10 35C08 35Q55 35Q15 PDFBibTeX XMLCite \textit{Z. Yan}, Chaos Solitons Fractals 164, Article ID 112758, 6 p. (2022; Zbl 1508.35205) Full Text: DOI arXiv
Xu, Yuanqing; Zheng, Xiaoxiao; Xin, Jie New non-traveling wave solutions for the (2+1)-dimensional variable coefficients Date-Jimbo-Kashiwara-Miwa equation. (English) Zbl 1498.35165 Chaos Solitons Fractals 155, Article ID 111661, 8 p. (2022). MSC: 35C99 35G20 37K10 68W30 PDFBibTeX XMLCite \textit{Y. Xu} et al., Chaos Solitons Fractals 155, Article ID 111661, 8 p. (2022; Zbl 1498.35165) Full Text: DOI
Lin, Zhe; Wen, Xiao-Yong Modulational instability and position controllable discrete rogue waves with interaction phenomena in the semi-discrete complex coupled dispersionless system. (English) Zbl 1524.35415 Wave Motion 112, Article ID 102932, 16 p. (2022). MSC: 35M30 93B05 93C20 37K10 35Q55 PDFBibTeX XMLCite \textit{Z. Lin} and \textit{X.-Y. Wen}, Wave Motion 112, Article ID 102932, 16 p. (2022; Zbl 1524.35415) Full Text: DOI
Berntson, Bjorn K.; Langmann, Edwin; Lenells, Jonatan On the non-chiral intermediate long wave equation. (English) Zbl 1496.35308 Nonlinearity 35, No. 8, 4549-4584 (2022). MSC: 35Q35 35Q51 37K10 37K35 PDFBibTeX XMLCite \textit{B. K. Berntson} et al., Nonlinearity 35, No. 8, 4549--4584 (2022; Zbl 1496.35308) Full Text: DOI arXiv
Berntson, Bjorn K.; Langmann, Edwin; Lenells, Jonatan On the non-chiral intermediate long wave equation. II: Periodic case. (English) Zbl 1496.35307 Nonlinearity 35, No. 8, 4517-4548 (2022). MSC: 35Q35 35Q51 37K10 37K35 PDFBibTeX XMLCite \textit{B. K. Berntson} et al., Nonlinearity 35, No. 8, 4517--4548 (2022; Zbl 1496.35307) Full Text: DOI arXiv
Klaus, Friedrich; Kunstmann, Peer Global wellposedness of NLS in \(H^1(\mathbb{R}) + H^s(\mathbb{T})\). (English) Zbl 1504.35488 J. Math. Anal. Appl. 514, No. 2, Article ID 126359, 14 p. (2022). MSC: 35Q55 35Q41 35A01 35A02 37K10 PDFBibTeX XMLCite \textit{F. Klaus} and \textit{P. Kunstmann}, J. Math. Anal. Appl. 514, No. 2, Article ID 126359, 14 p. (2022; Zbl 1504.35488) Full Text: DOI arXiv
Xun, Weikang; Fan, Engui Long time and Painlevé-type asymptotics for the Sasa-Satsuma equation in solitonic space time regions. (English) Zbl 1493.35087 J. Differ. Equations 329, 89-130 (2022). MSC: 35Q51 35Q53 35Q55 35Q15 37K10 37K15 35C20 35B40 35C08 41A60 34M55 PDFBibTeX XMLCite \textit{W. Xun} and \textit{E. Fan}, J. Differ. Equations 329, 89--130 (2022; Zbl 1493.35087) Full Text: DOI arXiv
Zhu, Wei; Khademi, Wesley; Charalampidis, Efstathios G.; Kevrekidis, Panayotis G. Neural networks enforcing physical symmetries in nonlinear dynamical lattices: the case example of the Ablowitz-Ladik model. (English) Zbl 1512.35512 Physica D 434, Article ID 133264, 14 p. (2022). MSC: 35Q51 35Q55 35Q35 35C08 65M99 65K10 68T07 37K10 37K15 37K60 35R60 PDFBibTeX XMLCite \textit{W. Zhu} et al., Physica D 434, Article ID 133264, 14 p. (2022; Zbl 1512.35512) Full Text: DOI arXiv
Galiano, Gonzalo; Velasco, Julián Convergence of solutions of a rescaled evolution nonlocal cross-diffusion problem to its local diffusion counterpart. (English) Zbl 1486.45016 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 93, 17 p. (2022). MSC: 45K05 35K55 45G15 PDFBibTeX XMLCite \textit{G. Galiano} and \textit{J. Velasco}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 93, 17 p. (2022; Zbl 1486.45016) Full Text: DOI arXiv
Catalano Ferraioli, Diego; Castro Silva, Tarcísio; Tenenblat, Keti Isometric immersions and differential equations describing pseudospherical surfaces. (English) Zbl 1508.35117 J. Math. Anal. Appl. 511, No. 2, Article ID 126091, 7 p. (2022). MSC: 35Q53 37K10 37K35 53A05 58J72 PDFBibTeX XMLCite \textit{D. Catalano Ferraioli} et al., J. Math. Anal. Appl. 511, No. 2, Article ID 126091, 7 p. (2022; Zbl 1508.35117) Full Text: DOI arXiv
Feola, Roberto; Montalto, Riccardo Quadratic lifespan and growth of Sobolev norms for derivative Schrödinger equations on generic tori. (English) Zbl 1483.35209 J. Differ. Equations 312, 276-316 (2022). MSC: 35Q55 37K10 35S50 PDFBibTeX XMLCite \textit{R. Feola} and \textit{R. Montalto}, J. Differ. Equations 312, 276--316 (2022; Zbl 1483.35209) Full Text: DOI arXiv
Lü, Xing; Chen, Si-Jia Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types. (English) Zbl 1516.35175 Nonlinear Dyn. 103, No. 1, 947-977 (2021). MSC: 35C08 35Q51 35A25 37K10 PDFBibTeX XMLCite \textit{X. Lü} and \textit{S.-J. Chen}, Nonlinear Dyn. 103, No. 1, 947--977 (2021; Zbl 1516.35175) Full Text: DOI
McLaughlin, Kenneth T.-R.; Nabelek, Patrik V. Corrigendum to: “A Riemann-Hilbert problem approach to infinite gap Hill’s operators and the Korteweg-de Vries equation”. (English) Zbl 1485.35314 Int. Math. Res. Not. 2021, No. 23, 18410 (2021). MSC: 35Q15 35Q53 35Q55 35A02 35P99 35C08 37K10 37K35 35P30 PDFBibTeX XMLCite \textit{K. T. R. McLaughlin} and \textit{P. V. Nabelek}, Int. Math. Res. Not. 2021, No. 23, 18410 (2021; Zbl 1485.35314) Full Text: DOI
Obaidullah, U.; Jamal, Sameerah A computational procedure for exact solutions of Burgers’ hierarchy of nonlinear partial differential equations. (English) Zbl 07435183 J. Appl. Math. Comput. 65, No. 1-2, 541-551 (2021). MSC: 65Mxx 35Q53 35Q74 37K10 74J30 PDFBibTeX XMLCite \textit{U. Obaidullah} and \textit{S. Jamal}, J. Appl. Math. Comput. 65, No. 1--2, 541--551 (2021; Zbl 07435183) Full Text: DOI
Merker, Joël Vanishing Hachtroudi curvature and local equivalence to the Heisenberg pseudosphere. (English) Zbl 1478.32115 Bull. Iran. Math. Soc. 47, No. 6, 1775-1792 (2021). MSC: 32V40 35G20 32W50 58A15 58A20 PDFBibTeX XMLCite \textit{J. Merker}, Bull. Iran. Math. Soc. 47, No. 6, 1775--1792 (2021; Zbl 1478.32115) Full Text: DOI
Tchakoutio Nguetcho, Aurélien Serge; Nkeumaleu, Guy Merlin; Bilbault, Jean Marie Anharmonic effects on the dynamic behavior’s of Klein Gordon model’s. (English) Zbl 1510.35275 Appl. Math. Comput. 403, Article ID 126136, 15 p. (2021). MSC: 35Q53 37K60 35C08 PDFBibTeX XMLCite \textit{A. S. Tchakoutio Nguetcho} et al., Appl. Math. Comput. 403, Article ID 126136, 15 p. (2021; Zbl 1510.35275) Full Text: DOI
Takahashi, Masatomo; Yu, Haiou Envelopes of families of framed surfaces and singular solutions of first-order partial differential equations. (English) Zbl 1478.58013 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 5, 1515-1542 (2021). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 58K05 57R45 53A05 53A55 35F25 35F55 PDFBibTeX XMLCite \textit{M. Takahashi} and \textit{H. Yu}, Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 5, 1515--1542 (2021; Zbl 1478.58013) Full Text: DOI
Duarte, V. N. A class of solutions of the two-dimensional Toda lattice equation. (English) Zbl 1487.37083 Phys. Lett., A 385, Article ID 126979, 3 p. (2021). Reviewer: Andrei Pranevich (Grodno) MSC: 37K10 35C08 37K40 PDFBibTeX XMLCite \textit{V. N. Duarte}, Phys. Lett., A 385, Article ID 126979, 3 p. (2021; Zbl 1487.37083) Full Text: DOI arXiv
McLaughlin, Kenneth T.-R.; Nabelek, Patrik V. A Riemann-Hilbert problem approach to infinite gap Hill’s operators and the Korteweg-de Vries equation. (English) Zbl 1483.35145 Int. Math. Res. Not. 2021, No. 2, 1288-1352 (2021); corrigendum ibid. 2021, No. 23, 18410 (2021). Reviewer: Deniz Bilman (Cincinnati) MSC: 35Q15 35Q53 35Q55 35A02 35P99 35C08 37K10 37K35 PDFBibTeX XMLCite \textit{K. T. R. McLaughlin} and \textit{P. V. Nabelek}, Int. Math. Res. Not. 2021, No. 2, 1288--1352 (2021; Zbl 1483.35145) Full Text: DOI arXiv
Khater, Mostafa M. A.; Nisar, Kottakkaran Sooppy; Mohamed, Mohamed S. Numerical investigation for the fractional nonlinear space-time telegraph equation via the trigonometric Quintic B-spline scheme. (English) Zbl 1469.35196 Math. Methods Appl. Sci. 44, No. 6, 4598-4606 (2021). MSC: 35Q60 35C07 37K10 65M70 65M15 65D07 35R11 PDFBibTeX XMLCite \textit{M. M. A. Khater} et al., Math. Methods Appl. Sci. 44, No. 6, 4598--4606 (2021; Zbl 1469.35196) Full Text: DOI
Onodera, Eiji; Yamasaki, Haruka A fifth-order dispersive partial differential equation for curve flow on the sphere. (English) Zbl 1477.35267 J. Math. Anal. Appl. 503, No. 1, Article ID 125297, 33 p. (2021). MSC: 35Q82 35Q35 35Q55 35Q56 82D40 76B47 37K10 35K25 35A01 35A02 PDFBibTeX XMLCite \textit{E. Onodera} and \textit{H. Yamasaki}, J. Math. Anal. Appl. 503, No. 1, Article ID 125297, 33 p. (2021; Zbl 1477.35267) Full Text: DOI
Biondini, Gino; Lottes, Jonathan; Mantzavinos, Dionyssios Inverse scattering transform for the focusing nonlinear Schrödinger equation with counterpropagating flows. (English) Zbl 1472.35347 Stud. Appl. Math. 146, No. 2, 371-439 (2021). MSC: 35Q55 35Q15 35C08 35B40 35P25 37K15 37K10 35R30 PDFBibTeX XMLCite \textit{G. Biondini} et al., Stud. Appl. Math. 146, No. 2, 371--439 (2021; Zbl 1472.35347) Full Text: DOI arXiv
Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo Large KAM tori for quasi-linear perturbations of KdV. (English) Zbl 1462.35329 Arch. Ration. Mech. Anal. 239, No. 3, 1395-1500 (2021). MSC: 35Q53 35C08 35B25 35B09 37K10 35R09 PDFBibTeX XMLCite \textit{M. Berti} et al., Arch. Ration. Mech. Anal. 239, No. 3, 1395--1500 (2021; Zbl 1462.35329) Full Text: DOI arXiv
Cao, Xiao-Qun; Hou, Shi-Cheng; Guo, Ya-Nan; Zhang, Cheng-Zhuo; Peng, Ke-Cheng Variational principle for \((2+1)\)-dimensional Broer-Kaup equations with fractal derivatives. (English) Zbl 1504.35299 Fractals 28, No. 7, Article ID 2050107, 7 p. (2020). MSC: 35Q35 76S05 76B15 35A15 37K10 49S05 28A80 26A33 35R11 PDFBibTeX XMLCite \textit{X.-Q. Cao} et al., Fractals 28, No. 7, Article ID 2050107, 7 p. (2020; Zbl 1504.35299) Full Text: DOI
Bobenko, Alexander I.; Schief, Wolfgang K.; Suris, Yuri B.; Techter, Jan On a discretization of confocal quadrics. A geometric approach to general parametrizations. (English) Zbl 1466.37056 Int. Math. Res. Not. 2020, No. 24, 10180-10230 (2020). Reviewer: Paul Melotti (Paris) MSC: 37K25 39A36 37K60 51A50 51A15 51A45 51B05 51E14 PDFBibTeX XMLCite \textit{A. I. Bobenko} et al., Int. Math. Res. Not. 2020, No. 24, 10180--10230 (2020; Zbl 1466.37056) Full Text: DOI arXiv
Wang, Jingqun; Tian, Lixin; Guo, Boling; Zhang, Yingnan Nonlinear stability of breather solutions to the coupled modified Korteweg-de Vries equations. (English) Zbl 1450.35237 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105367, 13 p. (2020). MSC: 35Q53 35C08 37K40 37K10 35B35 35P99 PDFBibTeX XMLCite \textit{J. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105367, 13 p. (2020; Zbl 1450.35237) Full Text: DOI
De Vecchi, Francesco C.; Morando, Paola The geometry of differential constraints for a class of evolution PDEs. (English) Zbl 1455.35006 J. Geom. Phys. 156, Article ID 103771, 22 p. (2020). Reviewer: Boris S. Kruglikov (Tromsø) MSC: 35A30 35B06 35R60 PDFBibTeX XMLCite \textit{F. C. De Vecchi} and \textit{P. Morando}, J. Geom. Phys. 156, Article ID 103771, 22 p. (2020; Zbl 1455.35006) Full Text: DOI arXiv
Lenells, Jonatan; Quirchmayr, Ronald On the spectral problem associated with the time-periodic nonlinear Schrödinger equation. (English) Zbl 1450.35240 Math. Ann. 377, No. 3-4, 1193-1264 (2020). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 37K15 37K10 47A75 35P99 PDFBibTeX XMLCite \textit{J. Lenells} and \textit{R. Quirchmayr}, Math. Ann. 377, No. 3--4, 1193--1264 (2020; Zbl 1450.35240) Full Text: DOI arXiv
Riaz, H. Wajahat A.; ul Hassan, Mahmood Quasi-Grammian solutions of a multi-component short pulse equation. (English) Zbl 1446.35195 J. Geom. Phys. 155, Article ID 103766, 12 p. (2020). MSC: 35Q60 35Q51 78A60 37K35 37K40 37K10 35C08 35P99 PDFBibTeX XMLCite \textit{H. W. A. Riaz} and \textit{M. ul Hassan}, J. Geom. Phys. 155, Article ID 103766, 12 p. (2020; Zbl 1446.35195) Full Text: DOI
Wang, Li; Yan, Zhenya; Guo, Boling Numerical analysis of the Hirota equation: modulational instability, breathers, rogue waves, and interactions. (English) Zbl 1435.35369 Chaos 30, No. 1, 013114, 10 p. (2020). MSC: 35Q60 35Q55 78A60 35C08 37K10 35R60 37K15 65M70 PDFBibTeX XMLCite \textit{L. Wang} et al., Chaos 30, No. 1, 013114, 10 p. (2020; Zbl 1435.35369) Full Text: DOI
Mahrous, Yussri M.; Khaled, S. M.; Ebaid, Abdelhalim An Internet traffic flow model via a conformable derivative: the exact soliton solutions. (English) Zbl 1524.78066 Adv. Differ. Equ. Control Process. 21, No. 2, 227-237 (2019). MSC: 78A60 37K10 35Q51 35Q55 35C08 35A01 26A33 35R11 35B20 PDFBibTeX XMLCite \textit{Y. M. Mahrous} et al., Adv. Differ. Equ. Control Process. 21, No. 2, 227--237 (2019; Zbl 1524.78066) Full Text: DOI
Khusnutdinova, Karima R.; Tranter, Matthew R. Nonlinear longitudinal bulk strain waves in layered elastic waveguides. (English) Zbl 1447.35316 Berezovski, Arkadi (ed.) et al., Applied wave mathematics II. Selected topics in solids, fluids, and mathematical methods and complexity. Cham: Springer. Math. Planet Earth 6, 125-150 (2019). MSC: 35Q74 74J10 74J20 74B20 35C08 37K60 82B20 65M06 65M99 35Q35 PDFBibTeX XMLCite \textit{K. R. Khusnutdinova} and \textit{M. R. Tranter}, Math. Planet Earth 6, 125--150 (2019; Zbl 1447.35316) Full Text: DOI arXiv Link
Guardia, Marcel; Hani, Zaher; Haus, Emanuele; Maspero, Alberto; Procesi, Michela A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation. (English) Zbl 1427.35254 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 4, 865-880 (2019). MSC: 35Q55 37K55 37K60 PDFBibTeX XMLCite \textit{M. Guardia} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 4, 865--880 (2019; Zbl 1427.35254) Full Text: DOI
Pham Loi Vu Inverse scattering problems and their application to nonlinear integrable equations. (English) Zbl 1444.35001 Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-0-367-33489-5/hbk; 978-0-429-32845-9/ebook). xxvi, 388 p. (2020). Reviewer: Khanlar R. Mamedov (Mersin) MSC: 35-01 35R30 37Kxx PDFBibTeX XMLCite \textit{Pham Loi Vu}, Inverse scattering problems and their application to nonlinear integrable equations. Boca Raton, FL: CRC Press (2019; Zbl 1444.35001) Full Text: DOI
Carillo, Sandra KdV-type equations linked via Bäcklund transformations: remarks and perspectives. (English) Zbl 1420.35308 Appl. Numer. Math. 141, 81-90 (2019). MSC: 35Q53 37K10 37K15 37K35 35Q51 35P99 PDFBibTeX XMLCite \textit{S. Carillo}, Appl. Numer. Math. 141, 81--90 (2019; Zbl 1420.35308) Full Text: DOI arXiv
Guha, Partha; Mukherjee, Indranil Hierarchies and Hamiltonian structures of the nonlinear Schrödinger family using geometric and spectral techniques. (English) Zbl 1416.35238 Discrete Contin. Dyn. Syst., Ser. B 24, No. 4, 1677-1695 (2019). MSC: 35Q55 37K10 37K30 35P99 PDFBibTeX XMLCite \textit{P. Guha} and \textit{I. Mukherjee}, Discrete Contin. Dyn. Syst., Ser. B 24, No. 4, 1677--1695 (2019; Zbl 1416.35238) Full Text: DOI
Hong, Younghun; Yang, Changhun Strong convergence for discrete nonlinear Schrödinger equations in the continuum limit. (English) Zbl 1417.35179 SIAM J. Math. Anal. 51, No. 2, 1297-1320 (2019). Reviewer: Guido Schneider (Stuttgart) MSC: 35Q55 37K60 35R11 PDFBibTeX XMLCite \textit{Y. Hong} and \textit{C. Yang}, SIAM J. Math. Anal. 51, No. 2, 1297--1320 (2019; Zbl 1417.35179) Full Text: DOI arXiv
Lei, Yutian On finite energy solutions of fractional order equations of the Choquard type. (English) Zbl 1408.35043 Discrete Contin. Dyn. Syst. 39, No. 3, 1497-1515 (2019). MSC: 35J60 35R11 PDFBibTeX XMLCite \textit{Y. Lei}, Discrete Contin. Dyn. Syst. 39, No. 3, 1497--1515 (2019; Zbl 1408.35043) Full Text: DOI
Popivanov, Petar; Slavova, Angela Nonlinear waves. A geometrical approach. (English) Zbl 1429.35005 Series on Analysis, Applications and Computation 9. Hackensack, NJ: World Scientific (ISBN 978-981-327-160-9/hbk; 978-981-327-162-3/ebook). xi, 196 p. (2019). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35-02 35C08 35Q51 35Q53 35Q55 35Q56 35C05 PDFBibTeX XMLCite \textit{P. Popivanov} and \textit{A. Slavova}, Nonlinear waves. A geometrical approach. Hackensack, NJ: World Scientific (2019; Zbl 1429.35005) Full Text: DOI
Zhang, Hai-Qiang; Gao, Min Rational soliton solutions in the parity-time-symmetric nonlocal coupled nonlinear Schrödinger equations. (English) Zbl 1509.35290 Commun. Nonlinear Sci. Numer. Simul. 63, 253-260 (2018). MSC: 35Q55 35C08 78A40 78A50 78A60 37K10 37K35 35B06 35B36 35P99 PDFBibTeX XMLCite \textit{H.-Q. Zhang} and \textit{M. Gao}, Commun. Nonlinear Sci. Numer. Simul. 63, 253--260 (2018; Zbl 1509.35290) Full Text: DOI
Vaibhav, Vishal Nonlinear Fourier transform of time-limited and one-sided signals. (English) Zbl 1410.78025 J. Phys. A, Math. Theor. 51, No. 42, Article ID 425201, 34 p. (2018). MSC: 78A60 78A46 94A12 41A46 42B10 37L65 35L70 35Q60 PDFBibTeX XMLCite \textit{V. Vaibhav}, J. Phys. A, Math. Theor. 51, No. 42, Article ID 425201, 34 p. (2018; Zbl 1410.78025) Full Text: DOI arXiv
Caparrós Quintero, Agustín; Hernández Heredero, Rafael Formal recursion operators of integrable nonevolutionary equations and Lagrangian systems. (English) Zbl 1411.35020 J. Phys. A, Math. Theor. 51, No. 38, Article ID 385201, 22 p. (2018). MSC: 35B06 35G20 17B80 03D80 PDFBibTeX XMLCite \textit{A. Caparrós Quintero} and \textit{R. Hernández Heredero}, J. Phys. A, Math. Theor. 51, No. 38, Article ID 385201, 22 p. (2018; Zbl 1411.35020) Full Text: DOI arXiv
Klein, Sebastian A spectral theory for simply periodic solutions of the Sinh-Gordon equation. (English) Zbl 1410.35002 Lecture Notes in Mathematics 2229. Cham: Springer (ISBN 978-3-030-01275-5/pbk; 978-3-030-01276-2/ebook). viii, 332 p. (2018). MSC: 35-02 35Q53 35Q55 37K10 35R30 37K15 37K25 40A20 53A10 58E12 35P05 PDFBibTeX XMLCite \textit{S. Klein}, A spectral theory for simply periodic solutions of the Sinh-Gordon equation. Cham: Springer (2018; Zbl 1410.35002) Full Text: DOI arXiv
Millet, Annie; Roudenko, Svetlana Generalized KdV equation subject to a stochastic perturbation. (English) Zbl 1395.60073 Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1177-1198 (2018). MSC: 60H15 35R60 35Q53 35L75 37K10 PDFBibTeX XMLCite \textit{A. Millet} and \textit{S. Roudenko}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1177--1198 (2018; Zbl 1395.60073) Full Text: DOI arXiv
Eskandar, S.; Hoseini, S. M. Soliton solutions and eigenfunctions of linearized operator for a higher-order nonlinear Schrödinger equation. (English) Zbl 1392.37054 Chaos Solitons Fractals 106, 289-294 (2018). MSC: 37K10 35Q55 37K40 PDFBibTeX XMLCite \textit{S. Eskandar} and \textit{S. M. Hoseini}, Chaos Solitons Fractals 106, 289--294 (2018; Zbl 1392.37054) Full Text: DOI
Sy, Mouhamadou Invariant measure and long time behavior of regular solutions of the Benjamin-Ono equation. (English) Zbl 1388.35175 Anal. PDE 11, No. 8, 1841-1879 (2018). MSC: 35Q53 35Q55 35A09 35B40 35Q51 35R60 37K10 PDFBibTeX XMLCite \textit{M. Sy}, Anal. PDE 11, No. 8, 1841--1879 (2018; Zbl 1388.35175) Full Text: DOI arXiv
Shen, Chunyu Optimal solution and optimality condition of the Hunter-Saxton equation. (English) Zbl 1410.35262 J. Math. Phys. 59, No. 2, 021507, 19 p. (2018). MSC: 35Q93 35G20 35C07 35D30 37K10 37K05 76B15 76A15 82D30 35Q35 93C20 49K20 PDFBibTeX XMLCite \textit{C. Shen}, J. Math. Phys. 59, No. 2, 021507, 19 p. (2018; Zbl 1410.35262) Full Text: DOI
Guo, Boling; Pang, Xiao-Feng; Wang, Yu-Feng; Liu, Nan Solitons. (English) Zbl 1406.35001 Berlin: De Gruyter (ISBN 978-3-11-054924-9/hbk; 978-3-11-054963-8/ebook). viii, 368 p. (2018). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 35-02 35Q51 37K40 35C08 35Q53 35Q55 PDFBibTeX XMLCite \textit{B. Guo} et al., Solitons. Berlin: De Gruyter (2018; Zbl 1406.35001) Full Text: DOI
Yang, Xiao; Du, Dianlou A new spectral problem and the related integrable nonlinear evolution equations. (English) Zbl 1379.35281 Appl. Math. Lett. 76, 110-116 (2018). MSC: 35Q53 37K10 35P99 PDFBibTeX XMLCite \textit{X. Yang} and \textit{D. Du}, Appl. Math. Lett. 76, 110--116 (2018; Zbl 1379.35281) Full Text: DOI
Boutin, Benjamin; Raymond, N. Some remarks about flows of Hilbert-Schmidt operators. (English) Zbl 1476.34133 J. Evol. Equ. 17, No. 2, 805-826 (2017). MSC: 34G20 37K10 35R20 47B25 47J35 47N20 PDFBibTeX XMLCite \textit{B. Boutin} and \textit{N. Raymond}, J. Evol. Equ. 17, No. 2, 805--826 (2017; Zbl 1476.34133) Full Text: DOI arXiv
Startsev, Sergey Ya. Formal integrals and Noether operators of nonlinear hyperbolic partial differential systems admitting a rich set of symmetries. (English) Zbl 1386.37065 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 034, 20 p. (2017). Reviewer: Bixiang Wang (Socorro) MSC: 37K05 37K10 37K35 35L65 35L70 PDFBibTeX XMLCite \textit{S. Ya. Startsev}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 034, 20 p. (2017; Zbl 1386.37065) Full Text: DOI arXiv
Catalano Ferraioli, D.; de Oliveira Silva, L. A. Local isometric immersions of pseudospherical surfaces described by evolution equations in conservation law form. (English) Zbl 1369.53007 J. Math. Anal. Appl. 446, No. 2, 1606-1631 (2017). MSC: 53A05 35Q53 58J72 37K10 PDFBibTeX XMLCite \textit{D. Catalano Ferraioli} and \textit{L. A. de Oliveira Silva}, J. Math. Anal. Appl. 446, No. 2, 1606--1631 (2017; Zbl 1369.53007) Full Text: DOI
Helminck, Gerard Strict versions of various matrix hierarchies related to SL(n)-loops and their combinations. arXiv:1711.02558 Preprint, arXiv:1711.02558 [math-ph] (2017). MSC: 22E65 34A34 35F99 35Q53 37K10 37K30 58B25 BibTeX Cite \textit{G. Helminck}, ``Strict versions of various matrix hierarchies related to SL(n)-loops and their combinations'', Preprint, arXiv:1711.02558 [math-ph] (2017) Full Text: arXiv OA License
Cheemaa, Nadia; Younis, Muhammad New and more general traveling wave solutions for nonlinear Schrödinger equation. (English) Zbl 1367.35151 Waves Random Complex Media 26, No. 1, 30-41 (2016). MSC: 35Q55 37K10 35C07 PDFBibTeX XMLCite \textit{N. Cheemaa} and \textit{M. Younis}, Waves Random Complex Media 26, No. 1, 30--41 (2016; Zbl 1367.35151) Full Text: DOI
Eckhardt, Jonathan; Kostenko, Aleksey; Teschl, Gerald The Camassa-Holm equation and the string density problem. (English) Zbl 1362.35099 Int. Math. Nachr., Wien 233, 1-24 (2016). MSC: 35G25 35-02 35C08 35Q35 PDFBibTeX XMLCite \textit{J. Eckhardt} et al., Int. Math. Nachr., Wien 233, 1--24 (2016; Zbl 1362.35099) Full Text: arXiv
Silva, Tarcísio Castro; Kamran, Niky Third-order differential equations and local isometric immersions of pseudospherical surfaces. (English) Zbl 1378.53015 Commun. Contemp. Math. 18, No. 6, Article ID 1650021, 41 p. (2016). Reviewer: Ioan Bucataru (Iaşi) MSC: 53A10 53B20 53C05 37K10 58J72 PDFBibTeX XMLCite \textit{T. C. Silva} and \textit{N. Kamran}, Commun. Contemp. Math. 18, No. 6, Article ID 1650021, 41 p. (2016; Zbl 1378.53015) Full Text: DOI arXiv
Biondini, Gino (ed.); Fokas, Athanassios S. (ed.) Preface: Mark J. Ablowitz, Nonlinear waves and integrable systems. I. (English) Zbl 1347.35005 Stud. Appl. Math. 137, No. 1, 3-9 (2016). MSC: 35-03 37-03 78-03 01A60 01A61 35Q55 35Q53 37K10 37K15 78A60 01A70 PDFBibTeX XMLCite \textit{G. Biondini} (ed.) and \textit{A. S. Fokas} (ed.), Stud. Appl. Math. 137, No. 1, 3--9 (2016; Zbl 1347.35005) Full Text: DOI
Bambusi, Dario Book review of: B. Grébert and T. Kappeler, The defocusing NLS equation and its normal form. (English) Zbl 1332.00014 Bull. Am. Math. Soc., New Ser. 53, No. 2, 337-342 (2016). MSC: 00A17 35-02 35Q55 37K10 37K15 34L40 34L20 35Q53 PDFBibTeX XMLCite \textit{D. Bambusi}, Bull. Am. Math. Soc., New Ser. 53, No. 2, 337--342 (2016; Zbl 1332.00014) Full Text: DOI
Ray, S. Saha On the soliton solution and Jacobi doubly periodic solution of the fractional coupled Schrödinger-KdV equation by a novel approach. (English) Zbl 1401.35320 Int. J. Nonlinear Sci. Numer. Simul. 16, No. 2, 79-95 (2015). MSC: 35R11 35B45 35C08 35Q53 35Q55 37K10 PDFBibTeX XMLCite \textit{S. S. Ray}, Int. J. Nonlinear Sci. Numer. Simul. 16, No. 2, 79--95 (2015; Zbl 1401.35320) Full Text: DOI
Aminikhah, H.; Dehghan, P. Generalized differential transform method for solving discrete complex cubic Ginzburg-Landau equation. (English) Zbl 1359.65224 Int. J. Comput. Methods 12, No. 3, Article ID 1550017, 18 p. (2015). MSC: 65M99 35Q56 35Q55 35Q51 PDFBibTeX XMLCite \textit{H. Aminikhah} and \textit{P. Dehghan}, Int. J. Comput. Methods 12, No. 3, Article ID 1550017, 18 p. (2015; Zbl 1359.65224) Full Text: DOI
Agafontsev, D. S.; Zakharov, V. E. Integrable turbulence and formation of rogue waves. (English) Zbl 1330.35391 Nonlinearity 28, No. 8, 2791-2821 (2015). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q55 37K10 65M99 PDFBibTeX XMLCite \textit{D. S. Agafontsev} and \textit{V. E. Zakharov}, Nonlinearity 28, No. 8, 2791--2821 (2015; Zbl 1330.35391) Full Text: DOI arXiv
Levi, Decio; Martina, Luigi; Winternitz, Pavel Structure preserving discretizations of the Liouville equation and their numerical tests. (English) Zbl 1358.35072 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 080, 20 p. (2015). MSC: 35L71 35A30 35L70 39A14 65N06 PDFBibTeX XMLCite \textit{D. Levi} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 080, 20 p. (2015; Zbl 1358.35072) Full Text: DOI arXiv EMIS
Lukashchuk, Stanislav Yu. Conservation laws for time-fractional subdiffusion and diffusion-wave equations. (English) Zbl 1345.35131 Nonlinear Dyn. 80, No. 1-2, 791-802 (2015). MSC: 35R11 35B06 26A33 37K10 PDFBibTeX XMLCite \textit{S. Yu. Lukashchuk}, Nonlinear Dyn. 80, No. 1--2, 791--802 (2015; Zbl 1345.35131) Full Text: DOI arXiv
Demirbas, Seckin Almost sure global well-posedness for the fractional cubic Schrödinger equation on torus. (English) Zbl 1326.35336 Can. Math. Bull. 58, No. 3, 471-485 (2015). MSC: 35Q55 37K10 35R11 81Q05 PDFBibTeX XMLCite \textit{S. Demirbas}, Can. Math. Bull. 58, No. 3, 471--485 (2015; Zbl 1326.35336) Full Text: DOI arXiv
Sohinger, Vedran; Staffilani, Gigliola Randomization and the Gross-Pitaevskii hierarchy. (English) Zbl 1372.35287 Arch. Ration. Mech. Anal. 218, No. 1, 417-485 (2015). Reviewer: Artyom Andronov (Saransk) MSC: 35Q55 35R60 37K10 35B65 35B45 PDFBibTeX XMLCite \textit{V. Sohinger} and \textit{G. Staffilani}, Arch. Ration. Mech. Anal. 218, No. 1, 417--485 (2015; Zbl 1372.35287) Full Text: DOI arXiv
Gandarias, M. L.; Bruzón, M. S.; Rosa, M. Nonlinear self-adjointness for a generalized Fisher equation in cylindrical coordinates. (English) Zbl 1320.37032 J. Appl. Nonlinear Dyn. 4, No. 1, 91-100 (2015). MSC: 37K10 35K57 PDFBibTeX XMLCite \textit{M. L. Gandarias} et al., J. Appl. Nonlinear Dyn. 4, No. 1, 91--100 (2015; Zbl 1320.37032) Full Text: DOI
Guardia, M.; Kaloshin, Vadim Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation. (English) Zbl 1311.35284 J. Eur. Math. Soc. (JEMS) 17, No. 1, 71-149 (2015). MSC: 35Q55 37K55 37K60 PDFBibTeX XMLCite \textit{M. Guardia} and \textit{V. Kaloshin}, J. Eur. Math. Soc. (JEMS) 17, No. 1, 71--149 (2015; Zbl 1311.35284) Full Text: DOI arXiv
Khusnutdinova, Karima Book review of: J. Yang, Nonlinear waves in integrable and nonintegrable systems. (English) Zbl 1305.00040 Bull. Lond. Math. Soc. 47, No. 1, 188-190 (2015). MSC: 00A17 35-02 37-02 65-02 35Q55 35Q41 35Q51 35J10 35P10 37K10 37K15 65N25 65N35 37K40 78A60 82C10 PDFBibTeX XMLCite \textit{K. Khusnutdinova}, Bull. Lond. Math. Soc. 47, No. 1, 188--190 (2015; Zbl 1305.00040) Full Text: DOI
Inc, Mustafa; Kılıç, Bülent Classification of traveling wave solutions for time-fractional fifth-order KdV-like equation. (English) Zbl 1378.35267 Waves Random Complex Media 24, No. 4, 393-403 (2014). MSC: 35Q53 35R11 35C08 37K10 PDFBibTeX XMLCite \textit{M. Inc} and \textit{B. Kılıç}, Waves Random Complex Media 24, No. 4, 393--403 (2014; Zbl 1378.35267) Full Text: DOI
Zhang, Yu-Juan; Zhao, Dun; Luo, Hong-Gang Multi-soliton management by the integrable nonautonomous nonlinear integro-differential Schrödinger equation. (English) Zbl 1344.37079 Ann. Phys. 350, 112-123 (2014). MSC: 37K40 37K10 35Q55 37C60 45K05 37K35 PDFBibTeX XMLCite \textit{Y.-J. Zhang} et al., Ann. Phys. 350, 112--123 (2014; Zbl 1344.37079) Full Text: DOI
Gerdjikov, Vladimir S. Book review of: B. Grébert and T. Kappeler, The defocusing NLS equation and its normal form. (English) Zbl 1329.00063 J. Geom. Symmetry Phys. 36, 117-119 (2014). MSC: 00A17 35-02 35Q55 37K10 37K15 34L40 34L20 35Q53 PDFBibTeX XMLCite \textit{V. S. Gerdjikov}, J. Geom. Symmetry Phys. 36, 117--119 (2014; Zbl 1329.00063)
Wang, Yu-Feng; Tian, Bo; Li, Min; Wang, Pan; Jiang, Yan Soliton dynamics of a discrete integrable Ablowitz-Ladik equation for some electrical and optical systems. (English) Zbl 1325.39006 Appl. Math. Lett. 35, 46-51 (2014). MSC: 39A12 35-04 35C08 35Q55 PDFBibTeX XMLCite \textit{Y.-F. Wang} et al., Appl. Math. Lett. 35, 46--51 (2014; Zbl 1325.39006) Full Text: DOI
Zhang, Sheng; Xu, Bo; Zhang, Hong-Qing Exact solutions of a KdV equation hierarchy with variable coefficients. (English) Zbl 1326.35326 Int. J. Comput. Math. 91, No. 7, 1601-1616 (2014). MSC: 35Q53 35C05 37K10 35P25 35R30 PDFBibTeX XMLCite \textit{S. Zhang} et al., Int. J. Comput. Math. 91, No. 7, 1601--1616 (2014; Zbl 1326.35326) Full Text: DOI
Babich, V. M.; Budylin, A. M.; Dmitrieva, L. A.; Fedotov, A. A.; Komech, A. I.; Levin, S. B.; Perel, M. V.; Rybakina, E. A.; Sukhanov, V. V. On the mathematical work of Vladimir Savel’evich Buslaev. (English. Russian original) Zbl 1304.35001 St. Petersbg. Math. J. 25, No. 2, 151-174 (2014); translation from Algebra Anal. 25, No. 2, 3-36 (2013). MSC: 35-00 01A70 PDFBibTeX XMLCite \textit{V. M. Babich} et al., St. Petersbg. Math. J. 25, No. 2, 151--174 (2014; Zbl 1304.35001); translation from Algebra Anal. 25, No. 2, 3--36 (2013) Full Text: DOI
Catalano Ferraioli, Diego; Tenenblat, Keti Fourth order evolution equations which describe pseudospherical surfaces. (English) Zbl 1310.53005 J. Differ. Equations 257, No. 9, 3165-3199 (2014). MSC: 53A05 47J35 35Q51 37K10 37K35 58J72 PDFBibTeX XMLCite \textit{D. Catalano Ferraioli} and \textit{K. Tenenblat}, J. Differ. Equations 257, No. 9, 3165--3199 (2014; Zbl 1310.53005) Full Text: DOI
Villarroel, J.; Maldonado, M.; Prada, J. On the integrability of the nonlinear Schrödinger equation with randomly dependent linear potential. (English) Zbl 1309.35186 J. Phys. A, Math. Theor. 47, No. 21, Article ID 215202, 19 p. (2014). Reviewer: Thomas J. Bartsch (Gießen) MSC: 35R60 35Q55 37K15 60H15 60J65 PDFBibTeX XMLCite \textit{J. Villarroel} et al., J. Phys. A, Math. Theor. 47, No. 21, Article ID 215202, 19 p. (2014; Zbl 1309.35186) Full Text: DOI
Fedrizzi, Ennio Stability of solitons under rapidly oscillating random perturbations of the initial conditions. (English) Zbl 1315.35053 Ann. Appl. Probab. 24, No. 2, 616-651 (2014). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 35C08 35Q53 35Q55 37K10 60B12 35B35 35R60 PDFBibTeX XMLCite \textit{E. Fedrizzi}, Ann. Appl. Probab. 24, No. 2, 616--651 (2014; Zbl 1315.35053) Full Text: DOI arXiv Euclid
Grébert, Benoît; Kappeler, Thomas The defocusing NLS equation and its normal form. (English) Zbl 1298.35002 EMS Series of Lectures in Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-131-6/pbk). viii, 166 p. (2014). Reviewer: Anthony D. Osborne (Keele) MSC: 35-02 35Q55 37K10 37K15 34L40 34L20 35Q53 PDFBibTeX XMLCite \textit{B. Grébert} and \textit{T. Kappeler}, The defocusing NLS equation and its normal form. Zürich: European Mathematical Society (EMS) (2014; Zbl 1298.35002) Full Text: DOI Link
Eslami, M.; Mirzazadeh, M. The simplest equation method for solving some important nonlinear partial differential equations. (English) Zbl 1340.35293 Acta Univ. Apulensis, Math. Inform. 33, 117-130 (2013). MSC: 35Q53 35Q55 37K10 PDFBibTeX XMLCite \textit{M. Eslami} and \textit{M. Mirzazadeh}, Acta Univ. Apulensis, Math. Inform. 33, 117--130 (2013; Zbl 1340.35293)
Kumar, Vikas; Gupta, R. K.; Jiwari, Ram Painlevé analysis, Lie symmetries and exact solutions for variable coefficients Benjamin-Bona-Mahony-Burger (BBMB) equation. (English) Zbl 1284.35141 Commun. Theor. Phys. 60, No. 2, 175-182 (2013). MSC: 35G50 35C99 17B80 35B06 PDFBibTeX XMLCite \textit{V. Kumar} et al., Commun. Theor. Phys. 60, No. 2, 175--182 (2013; Zbl 1284.35141) Full Text: DOI
Saksida, Pavle On the nonlinear Fourier transform associated with periodic AKNS-ZS systems and its inverse. (English) Zbl 1282.35015 J. Phys. A, Math. Theor. 46, No. 46, Article ID 465204, 22 p. (2013). MSC: 35A22 32A38 PDFBibTeX XMLCite \textit{P. Saksida}, J. Phys. A, Math. Theor. 46, No. 46, Article ID 465204, 22 p. (2013; Zbl 1282.35015) Full Text: DOI
Cheng, Junwei; Zhang, Dajun Conservation laws of some lattice equations. (English) Zbl 1279.39005 Front. Math. China 8, No. 5, 1001-1016 (2013). MSC: 39A14 39A12 37K10 35Q55 PDFBibTeX XMLCite \textit{J. Cheng} and \textit{D. Zhang}, Front. Math. China 8, No. 5, 1001--1016 (2013; Zbl 1279.39005) Full Text: DOI arXiv
França, G. S.; Gomes, J. F.; Zimerman, A. H. The algebraic structure behind the derivative nonlinear Schrödinger equation. (English) Zbl 1283.35124 J. Phys. A, Math. Theor. 46, No. 30, Article ID 305201, 19 p. (2013). MSC: 35Q55 35Q51 37K10 17B67 35P99 PDFBibTeX XMLCite \textit{G. S. França} et al., J. Phys. A, Math. Theor. 46, No. 30, Article ID 305201, 19 p. (2013; Zbl 1283.35124) Full Text: DOI arXiv
Wu, Lihua; He, Guoliang; Geng, Xianguo Quasi-periodic solutions to the two-component nonlinear Klein-Gordon equation. (English) Zbl 1277.35299 J. Geom. Phys. 66, 1-17 (2013). MSC: 35Q51 37K10 14H70 35C99 PDFBibTeX XMLCite \textit{L. Wu} et al., J. Geom. Phys. 66, 1--17 (2013; Zbl 1277.35299) Full Text: DOI
Manakov, S. V.; Santini, P. M. Wave breaking in solutions of the dispersionless Kadomtsev-Petviashvili equation at a finite time. (English. Russian original) Zbl 1352.35148 Theor. Math. Phys. 172, No. 2, 1118-1126 (2012); translation from Teor. Mat. Fiz. 172, No. 2, 275-284 (2012). MSC: 35Q53 35B44 35C08 35P25 35Q15 35R30 37K10 37K15 PDFBibTeX XMLCite \textit{S. V. Manakov} and \textit{P. M. Santini}, Theor. Math. Phys. 172, No. 2, 1118--1126 (2012; Zbl 1352.35148); translation from Teor. Mat. Fiz. 172, No. 2, 275--284 (2012) Full Text: DOI
Belyaeva, T. L.; Serkin, V. N.; Hasegawa, Akira; He, Jingsong; Li, Yishen Generalized Lax pair operator method and nonautonomous solitons. (English) Zbl 1263.37075 Ball, Joseph A. (ed.) et al., Recent progress in operator theory and its applications. Proceedings of the 20th international workshop on operator theory and applications (IWOTA), Guanajuato, Mexico, September 21–25, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0345-8/hbk; 978-3-0348-0346-5/ebook). Operator Theory: Advances and Applications 220, 57-76 (2012). Reviewer: Tomáš Dohnal (Karlsruhe) MSC: 37K10 47A40 47F05 35Q55 37K15 37K35 37K40 PDFBibTeX XMLCite \textit{T. L. Belyaeva} et al., Oper. Theory: Adv. Appl. 220, 57--76 (2012; Zbl 1263.37075) Full Text: DOI