Kawashima, Shuichi; Shibata, Yoshihiro; Xu, Jiang Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion. (English) Zbl 07481876 Commun. Partial Differ. Equations 47, No. 2, 378-400 (2022). MSC: 35G50 35B40 35Q35 35Q53 PDF BibTeX XML Cite \textit{S. Kawashima} et al., Commun. Partial Differ. Equations 47, No. 2, 378--400 (2022; Zbl 07481876) Full Text: DOI OpenURL
Wang, Chenchen; Li, Tingting; Jiao, Yujian A spectral method for Burgers equation using Jacobi polynomial. (English) Zbl 07448572 J. Shanghai Norm. Univ., Nat. Sci. 50, No. 3, 291-300 (2021). MSC: 65M70 33C45 35Q53 PDF BibTeX XML Cite \textit{C. Wang} et al., J. Shanghai Norm. Univ., Nat. Sci. 50, No. 3, 291--300 (2021; Zbl 07448572) Full Text: DOI OpenURL
Yu, Haoyang; Chong, Gezi Persistence properties for a new generalized two-component Camassa-Holm-type system. (English) Zbl 1474.35074 Chin. J. Eng. Math. 38, No. 2, 282-292 (2021). MSC: 35B30 35G25 35Q53 PDF BibTeX XML Cite \textit{H. Yu} and \textit{G. Chong}, Chin. J. Eng. Math. 38, No. 2, 282--292 (2021; Zbl 1474.35074) Full Text: DOI OpenURL
Cho, Yonggeun; Ozawa, Tohru; Yang, Changhun Small data scattering of Hartree type fractional Schrödinger equations in a scaling critical space. (English) Zbl 1480.35350 Funkc. Ekvacioj, Ser. Int. 64, No. 1, 1-15 (2021). Reviewer: Ivan Naumkin (Nice) MSC: 35Q55 35Q53 35R11 35B65 PDF BibTeX XML Cite \textit{Y. Cho} et al., Funkc. Ekvacioj, Ser. Int. 64, No. 1, 1--15 (2021; Zbl 1480.35350) Full Text: DOI OpenURL
Coclite, Giuseppe Maria; di Ruvo, Lorenzo Well-posedness of the classical solutions for a Kawahara-Korteweg-de Vries-type equation. (English) Zbl 1467.35279 J. Evol. Equ. 21, No. 1, 625-651 (2021). MSC: 35Q53 35G25 35K55 35B35 35A01 35A02 PDF BibTeX XML Cite \textit{G. M. Coclite} and \textit{L. di Ruvo}, J. Evol. Equ. 21, No. 1, 625--651 (2021; Zbl 1467.35279) Full Text: DOI OpenURL
Gürses, Metin; Pekcan, Aslı \((2+1)\)-dimensional AKNS \((-N)\) systems. II. (English) Zbl 1459.35079 Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105736, 17 p. (2021). MSC: 35C08 35Q53 35Q55 PDF BibTeX XML Cite \textit{M. Gürses} and \textit{A. Pekcan}, Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105736, 17 p. (2021; Zbl 1459.35079) Full Text: DOI OpenURL
Liu, Nan; Guo, Boling Painlevé-type asymptotics of an extended modified KdV equation in transition regions. (English) Zbl 1475.37077 J. Differ. Equations 280, 203-235 (2021). Reviewer: Ti-Jun Xiao (Fudan) MSC: 37K40 35Q53 37J65 34M55 PDF BibTeX XML Cite \textit{N. Liu} and \textit{B. Guo}, J. Differ. Equations 280, 203--235 (2021; Zbl 1475.37077) Full Text: DOI OpenURL
Cavalcante, Márcio; Corcho, Adán J. Well-posedness and lower bounds of the growth of weighted norms for the Schrödinger-Korteweg-de Vries interactions on the half-line. (English) Zbl 1466.35312 J. Evol. Equ. 20, No. 4, 1563-1596 (2020). MSC: 35Q53 35Q55 35B65 35B44 35A01 35A02 PDF BibTeX XML Cite \textit{M. Cavalcante} and \textit{A. J. Corcho}, J. Evol. Equ. 20, No. 4, 1563--1596 (2020; Zbl 1466.35312) Full Text: DOI arXiv OpenURL
Sukhanov, Vladimir V. Asymptotic behavior of solutions of a system of KdV type associated with the Schrödinger operator with an energy-dependent potential. (English) Zbl 1447.37062 Nelineĭn. Din. 16, No. 1, 173-179 (2020). MSC: 37K40 37K15 35Q53 PDF BibTeX XML Cite \textit{V. V. Sukhanov}, Nelineĭn. Din. 16, No. 1, 173--179 (2020; Zbl 1447.37062) Full Text: DOI MNR OpenURL
Adler, V. E. Nonautonomous symmetries of the KdV equation and step-like solutions. (English) Zbl 1436.35284 J. Nonlinear Math. Phys. 27, No. 3, 478-493 (2020). MSC: 35Q53 35G25 35C06 37B55 34M55 PDF BibTeX XML Cite \textit{V. E. Adler}, J. Nonlinear Math. Phys. 27, No. 3, 478--493 (2020; Zbl 1436.35284) Full Text: DOI arXiv OpenURL
Zhang, Zaiyun; Li, Limei; Fang, Chunhua; He, Fan; Huang, Chuangxia; Zhu, Wen A new blow-up criterion for the \(N - abc\) family of Camassa-Holm type equation with both dissipation and dispersion. (English) Zbl 1441.35076 Open Math. 18, 194-203 (2020). MSC: 35B44 35Q53 35G25 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Open Math. 18, 194--203 (2020; Zbl 1441.35076) Full Text: DOI OpenURL
Mi, Yongsheng; Mu, Chunlai On the Cauchy problem for the new integrable two-component Novikov equation. (English) Zbl 1441.35105 Ann. Mat. Pura Appl. (4) 199, No. 3, 1091-1122 (2020). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 35G25 35B30 35Q53 35B44 35B65 35B40 PDF BibTeX XML Cite \textit{Y. Mi} and \textit{C. Mu}, Ann. Mat. Pura Appl. (4) 199, No. 3, 1091--1122 (2020; Zbl 1441.35105) Full Text: DOI OpenURL
Bilman, Deniz; Ling, Liming; Miller, Peter D. Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy. (English) Zbl 1437.35617 Duke Math. J. 169, No. 4, 671-760 (2020). MSC: 35Q55 35Q51 37K10 37K15 35Q15 37K40 34M55 35B40 PDF BibTeX XML Cite \textit{D. Bilman} et al., Duke Math. J. 169, No. 4, 671--760 (2020; Zbl 1437.35617) Full Text: DOI arXiv Euclid OpenURL
Correia, Simão; Côte, Raphaël; Vega, Luis Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation. (English. French summary) Zbl 1437.35609 J. Math. Pures Appl. (9) 137, 101-142 (2020). MSC: 35Q53 35C06 35B40 45G05 42A38 PDF BibTeX XML Cite \textit{S. Correia} et al., J. Math. Pures Appl. (9) 137, 101--142 (2020; Zbl 1437.35609) Full Text: DOI arXiv OpenURL
Yi, G. On the dispersionless Davey-Stewartson system: Hamiltonian vector field Lax pair and relevant nonlinear Riemann-Hilbert problem for dDS-II system. (English) Zbl 1437.37085 Lett. Math. Phys. 110, No. 3, 445-463 (2020). Reviewer: Yarema Prykarpatskyy (Kraków) MSC: 37K10 37K15 35Q15 PDF BibTeX XML Cite \textit{G. Yi}, Lett. Math. Phys. 110, No. 3, 445--463 (2020; Zbl 1437.37085) Full Text: DOI arXiv OpenURL
Mi, Yongsheng; Guo, Boling; Luo, Ting Well-posedness and analyticity of the Cauchy problem for the multi-component Novikov equation. (English) Zbl 1432.35054 Monatsh. Math. 191, No. 2, 295-323 (2020). MSC: 35G55 35A10 35Q53 35B65 PDF BibTeX XML Cite \textit{Y. Mi} et al., Monatsh. Math. 191, No. 2, 295--323 (2020; Zbl 1432.35054) Full Text: DOI OpenURL
Gérard, Patrick Wave turbulence and complete integrability. (English) Zbl 1442.35419 Miller, Peter D. (ed.) et al., Nonlinear dispersive partial differential equations and inverse scattering. Papers from the focus program on “Nonlinear Dispersive Partial Differential Equations and Inverse Scattering”, Fields Institute, July 31 – August 18, 2017. New York, NY: Springer; Toronto, ON: The Fields Institute for Research in Mathematical Scienes. Fields Inst. Commun. 83, 39-93 (2019). MSC: 35Q55 35Q53 37K10 37K15 47B35 PDF BibTeX XML Cite \textit{P. Gérard}, Fields Inst. Commun. 83, 39--93 (2019; Zbl 1442.35419) Full Text: DOI OpenURL
Tanaka, Tomoyuki Local well-posedness for third order Benjamin-Ono type equations on the torus. (English) Zbl 1437.35611 Adv. Differ. Equ. 24, No. 9-10, 555-580 (2019). MSC: 35Q53 37K10 35G25 35A01 35A02 35B45 PDF BibTeX XML Cite \textit{T. Tanaka}, Adv. Differ. Equ. 24, No. 9--10, 555--580 (2019; Zbl 1437.35611) Full Text: arXiv Euclid OpenURL
Grinevich, P. G.; Novikov, R. G. Moutard transforms for the conductivity equation. (English) Zbl 1430.35227 Lett. Math. Phys. 109, No. 10, 2209-2222 (2019). MSC: 35Q79 35Q55 35J15 35C05 30G20 37K35 37K10 80A19 PDF BibTeX XML Cite \textit{P. G. Grinevich} and \textit{R. G. Novikov}, Lett. Math. Phys. 109, No. 10, 2209--2222 (2019; Zbl 1430.35227) Full Text: DOI arXiv HAL OpenURL
Carillo, Sandra; Schiavo, Mauro Lo; Schiebold, Cornelia Abelian versus non-abelian Bäcklund charts: some remarks. (English) Zbl 1426.58010 Evol. Equ. Control Theory 8, No. 1, 43-55 (2019). MSC: 58J72 35Q53 35A30 PDF BibTeX XML Cite \textit{S. Carillo} et al., Evol. Equ. Control Theory 8, No. 1, 43--55 (2019; Zbl 1426.58010) Full Text: DOI arXiv OpenURL
Mi, Yongsheng; Wang, Linsong; Guo, Boling; Mu, Chunlai Nonuniform dependence and well-posedness for the generalized Camassa-Holm equation. (English) Zbl 1415.35100 Appl. Anal. 98, No. 8, 1520-1548 (2019). MSC: 35G25 35B30 35A10 35Q53 PDF BibTeX XML Cite \textit{Y. Mi} et al., Appl. Anal. 98, No. 8, 1520--1548 (2019; Zbl 1415.35100) Full Text: DOI OpenURL
Capistrano-Filho, Roberto A.; Gallego, Fernando A.; Pazoto, Ademir F. On the well-posedness and large-time behavior of higher order Boussinesq system. (English) Zbl 1411.93147 Nonlinearity 32, No. 5, 1852-1881 (2019). MSC: 93D15 93C10 93B18 93C20 35Q53 PDF BibTeX XML Cite \textit{R. A. Capistrano-Filho} et al., Nonlinearity 32, No. 5, 1852--1881 (2019; Zbl 1411.93147) Full Text: DOI arXiv OpenURL
Zhu, Xiaoming; Zuo, Dafeng Some \((2 + 1)\)-dimensional nonlocal “breaking soliton”-type systems. (English) Zbl 1410.35221 Appl. Math. Lett. 91, 181-187 (2019). MSC: 35Q55 35Q51 37K40 35Q53 37K35 PDF BibTeX XML Cite \textit{X. Zhu} and \textit{D. Zuo}, Appl. Math. Lett. 91, 181--187 (2019; Zbl 1410.35221) Full Text: DOI OpenURL
Rudenko, O. V.; Hedberg, C. M. Single shock and periodic sawtooth-shaped waves in media with non-analytic nonlinearities. (English) Zbl 1407.35048 Math. Model. Nat. Phenom. 13, No. 2, Paper No. 18, 27 p. (2018). MSC: 35C07 35G20 35K55 74J40 76E30 76Q05 35L67 PDF BibTeX XML Cite \textit{O. V. Rudenko} and \textit{C. M. Hedberg}, Math. Model. Nat. Phenom. 13, No. 2, Paper No. 18, 27 p. (2018; Zbl 1407.35048) Full Text: DOI Link OpenURL
Frank, Rupert L.; Sabin, Julien Extremizers for the Airy-Strichartz inequality. (English) Zbl 1406.35354 Math. Ann. 372, No. 3-4, 1121-1166 (2018). MSC: 35Q55 35Q53 42B10 PDF BibTeX XML Cite \textit{R. L. Frank} and \textit{J. Sabin}, Math. Ann. 372, No. 3--4, 1121--1166 (2018; Zbl 1406.35354) Full Text: DOI arXiv OpenURL
Samoilenko, Anatolij M.; Prykarpatskyy, Yarema A.; Blackmore, Denis; Prykarpatski, Anatolij K. A novel integrability analysis of a generalized Riemann type hydrodynamic hierarchy. (English) Zbl 1413.35403 Miskolc Math. Notes 19, No. 1, 555-567 (2018). MSC: 35Q53 35G25 35N10 37K35 58J70 58J72 34A34 37K05 37K10 17B80 PDF BibTeX XML Cite \textit{A. M. Samoilenko} et al., Miskolc Math. Notes 19, No. 1, 555--567 (2018; Zbl 1413.35403) Full Text: DOI OpenURL
Thirumalai, Sagithya; Seshadri, Rajeswari Spectral analysis on Burgers’ equation and its solutions using three different basis functions. (English) Zbl 1407.65227 Int. J. Appl. Comput. Math. 4, No. 3, Paper No. 93, 21 p. (2018). MSC: 65M70 35Q35 35Q53 65L06 35K55 76L05 41A10 41A50 42C10 33C45 PDF BibTeX XML Cite \textit{S. Thirumalai} and \textit{R. Seshadri}, Int. J. Appl. Comput. Math. 4, No. 3, Paper No. 93, 21 p. (2018; Zbl 1407.65227) Full Text: DOI OpenURL
Luo, Wei; Yin, Zhaoyang Gevrey regularity and analyticity for Camassa-Holm type systems. (English) Zbl 1395.35170 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 18, No. 3, 1061-1079 (2018). MSC: 35Q53 35B30 35B44 35C07 35G25 35B65 PDF BibTeX XML Cite \textit{W. Luo} and \textit{Z. Yin}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 18, No. 3, 1061--1079 (2018; Zbl 1395.35170) Full Text: DOI arXiv OpenURL
Chen, Jinbing Quasi-periodic solutions to a negative-order integrable system of 2-component KdV equation. (English) Zbl 1387.35515 Int. J. Geom. Methods Mod. Phys. 15, No. 3, Article ID 1850040, 34 p. (2018). MSC: 35Q51 35Q53 37K10 37K20 70K43 35B10 PDF BibTeX XML Cite \textit{J. Chen}, Int. J. Geom. Methods Mod. Phys. 15, No. 3, Article ID 1850040, 34 p. (2018; Zbl 1387.35515) Full Text: DOI OpenURL
Ren, Yuanyuan; Li, Yongsheng; Yan, Wei Sharp well-posedness of the Cauchy problem for the fourth order nonlinear Schrödinger equation. (English) Zbl 1386.35371 Commun. Pure Appl. Anal. 17, No. 2, 487-504 (2018). MSC: 35Q53 35G25 46E35 PDF BibTeX XML Cite \textit{Y. Ren} et al., Commun. Pure Appl. Anal. 17, No. 2, 487--504 (2018; Zbl 1386.35371) Full Text: DOI OpenURL
Semenov, K. Conditions of the existence of Bäcklund transformations for the evolution-type PDEs of the third order with one dimensional variable. (Russian. English summary) Zbl 1388.35004 Differ. Geom. Mnogoobr. Figur 48, 104-110 (2017). MSC: 35A30 35G20 37K10 PDF BibTeX XML Cite \textit{K. Semenov}, Differ. Geom. Mnogoobr. Figur 48, 104--110 (2017; Zbl 1388.35004) OpenURL
Kotlyarov, Vladimir; Shepelsky, Dmitry Planar unimodular Baker-Akhiezer function for the nonlinear Schrödinger equation. (English) Zbl 1386.35379 Ann. Math. Sci. Appl. 2, No. 2, 343-384 (2017). MSC: 35Q55 37K10 30E20 30E25 35B10 35B15 PDF BibTeX XML Cite \textit{V. Kotlyarov} and \textit{D. Shepelsky}, Ann. Math. Sci. Appl. 2, No. 2, 343--384 (2017; Zbl 1386.35379) Full Text: DOI OpenURL
Álvarez, J.; Durán, A. Numerical generation of periodic traveling wave solutions of some nonlinear dispersive wave systems. (English) Zbl 1395.65112 J. Comput. Appl. Math. 316, 29-39 (2017). MSC: 65M99 65H10 35C07 35Q53 35R11 35B10 PDF BibTeX XML Cite \textit{J. Álvarez} and \textit{A. Durán}, J. Comput. Appl. Math. 316, 29--39 (2017; Zbl 1395.65112) Full Text: DOI arXiv Link OpenURL
Brandolese, Lorenzo A Liouville theorem for the Degasperis-Procesi equation. (English) Zbl 1358.35088 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 16, No. 3, 759-765 (2016). MSC: 35Q30 37K10 35B53 74H35 76B15 PDF BibTeX XML Cite \textit{L. Brandolese}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 16, No. 3, 759--765 (2016; Zbl 1358.35088) Full Text: DOI arXiv OpenURL
Silwal, Sharad Existence of bound states for \((N+1)\)-coupled long-wave-short-wave interaction equations. (English) Zbl 1351.35175 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 23, No. 5, 365-377 (2016). MSC: 35Q53 35Q55 35A15 35B35 PDF BibTeX XML Cite \textit{S. Silwal}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 23, No. 5, 365--377 (2016; Zbl 1351.35175) Full Text: arXiv Link OpenURL
Samii, Ali; Panda, Nishant; Michoski, Craig; Dawson, Clint A hybridized discontinuous Galerkin method for the nonlinear Korteweg-de Vries equation. (English) Zbl 1344.65093 J. Sci. Comput. 68, No. 1, 191-212 (2016). MSC: 65M60 35Q53 65M12 PDF BibTeX XML Cite \textit{A. Samii} et al., J. Sci. Comput. 68, No. 1, 191--212 (2016; Zbl 1344.65093) Full Text: DOI OpenURL
Molnar, Jan-Cornelius On two-sided estimates for the nonlinear Fourier transform of KdV. (English) Zbl 1335.35220 Discrete Contin. Dyn. Syst. 36, No. 6, 3339-3356 (2016). MSC: 35Q53 42A38 PDF BibTeX XML Cite \textit{J.-C. Molnar}, Discrete Contin. Dyn. Syst. 36, No. 6, 3339--3356 (2016; Zbl 1335.35220) Full Text: DOI arXiv OpenURL
Bona, Jerry L.; Chen, Hongqiu; Hsia, Chun-Hsiung Global well-posedness and singularity propagation for the BBM-BBM system on a quarter plane. (English) Zbl 1382.35207 Adv. Differ. Equ. 21, No. 3-4, 301-332 (2016). MSC: 35Q35 35M33 35B30 35G61 45G15 76B03 35Q51 35Q53 76B15 76B25 76B55 PDF BibTeX XML Cite \textit{J. L. Bona} et al., Adv. Differ. Equ. 21, No. 3--4, 301--332 (2016; Zbl 1382.35207) Full Text: Euclid OpenURL
Li, Qian; Xia, Tiecheng; Yue, Chao Algebro-geometric solutions for the generalized nonlinear Schrödinger hierarchy. (English) Zbl 1326.37043 J. Nonlinear Sci. Appl. 9, No. 2, 661-676 (2016). MSC: 37K10 35Q35 37K20 PDF BibTeX XML Cite \textit{Q. Li} et al., J. Nonlinear Sci. Appl. 9, No. 2, 661--676 (2016; Zbl 1326.37043) Full Text: DOI Link OpenURL
Lee, C. T.; Lee, C. C. On the study of a nonlinear higher order dispersive wave equation: its mathematical physical structure and anomaly soliton phenomena. (English) Zbl 1378.35073 Waves Random Complex Media 25, No. 2, 197-222 (2015). MSC: 35C08 35Q53 37K05 37K40 PDF BibTeX XML Cite \textit{C. T. Lee} and \textit{C. C. Lee}, Waves Random Complex Media 25, No. 2, 197--222 (2015; Zbl 1378.35073) Full Text: DOI OpenURL
Gegenhasi; Manduhu; Ye, Xiaohan On the fully discrete Davey-Stewartson system with self-consistent sources. (English) Zbl 1354.39004 Pac. J. Appl. Math. 7, No. 3, 163-175 (2015). MSC: 39A12 35Q55 37K10 PDF BibTeX XML Cite \textit{Gegenhasi} et al., Pac. J. Appl. Math. 7, No. 3, 163--175 (2015; Zbl 1354.39004) OpenURL
Yang, Xiao-Feng; Deng, Zi-Chen; Li, Qing-Jun; Wei, Yi Exact solutions and multi-symplectic structure of the generalized KdV-type equation. (English) Zbl 1346.35190 Adv. Difference Equ. 2015, Paper No. 271, 15 p. (2015). MSC: 35Q55 35Q53 35G25 PDF BibTeX XML Cite \textit{X.-F. Yang} et al., Adv. Difference Equ. 2015, Paper No. 271, 15 p. (2015; Zbl 1346.35190) Full Text: DOI OpenURL
Yushkov, E. V.; Korpusov, M. O. Global unsolvability of one-dimensional problems for Burgers-type equations. (English. Russian original) Zbl 1339.35277 Math. Notes 98, No. 3, 503-514 (2015); translation from Mat. Zametki 98, No. 3, 448-462 (2015). MSC: 35Q53 35B44 35B50 PDF BibTeX XML Cite \textit{E. V. Yushkov} and \textit{M. O. Korpusov}, Math. Notes 98, No. 3, 503--514 (2015; Zbl 1339.35277); translation from Mat. Zametki 98, No. 3, 448--462 (2015) Full Text: DOI OpenURL
Mi, Yongsheng; Mu, Chunlai Well-posedness for the Cauchy problem of the modified Hunter-Saxton equation in the Besov spaces. (English) Zbl 1339.35093 Math. Methods Appl. Sci. 38, No. 17, 4061-4074 (2015). MSC: 35G25 35B30 35A10 35Q53 PDF BibTeX XML Cite \textit{Y. Mi} and \textit{C. Mu}, Math. Methods Appl. Sci. 38, No. 17, 4061--4074 (2015; Zbl 1339.35093) Full Text: DOI OpenURL
Mogorosi, Tshepo Edward; Muatjetjeja, Ben; Khalique, Chaudry Masood Conservation laws for a generalized coupled Boussinesq system of KdV-KdV type. (English) Zbl 1331.35284 Cojocaru, Monica G. (ed.) et al., Interdisciplinary topics in applied mathematics, modeling and computational science. Selected papers based on the presentations at the 2nd conference, AMMCS 2013, Waterloo, Canada, August 26–30, 2013. Cham: Springer (ISBN 978-3-319-12306-6/hbk; 978-3-319-12307-3/ebook). Springer Proceedings in Mathematics & Statistics 117, 315-321 (2015). MSC: 35Q35 35Q53 35L65 76B15 35Q31 PDF BibTeX XML Cite \textit{T. E. Mogorosi} et al., Springer Proc. Math. Stat. 117, 315--321 (2015; Zbl 1331.35284) Full Text: DOI OpenURL
Molnar, Jan-Cornelius New estimates of the nonlinear Fourier transform for the defocusing NLS equation. (English) Zbl 1326.35352 Int. Math. Res. Not. 2015, No. 17, 8309-8352 (2015). MSC: 35Q55 42B10 37K10 PDF BibTeX XML Cite \textit{J.-C. Molnar}, Int. Math. Res. Not. 2015, No. 17, 8309--8352 (2015; Zbl 1326.35352) Full Text: DOI arXiv Link OpenURL
Mashuri; Purwanto, B. S. Wave group evolution in KdV-type model. (English) Zbl 1316.35254 Far East J. Math. Sci. (FJMS) 96, No. 1, 29-42 (2015). MSC: 35Q53 35Q55 35B40 PDF BibTeX XML Cite \textit{Mashuri} and \textit{B. S. Purwanto}, Far East J. Math. Sci. (FJMS) 96, No. 1, 29--42 (2015; Zbl 1316.35254) Full Text: DOI Link OpenURL
Mi, Yongsheng; Mu, Chunlai On the Cauchy problem for the generalized Camassa-Holm equation. (English) Zbl 1387.35109 Monatsh. Math. 176, No. 3, 423-457 (2015). Reviewer: Johanna Michor (Wien) MSC: 35G25 35B30 35A10 35Q53 PDF BibTeX XML Cite \textit{Y. Mi} and \textit{C. Mu}, Monatsh. Math. 176, No. 3, 423--457 (2015; Zbl 1387.35109) Full Text: DOI OpenURL
Chithiika Ruby, V.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. Removal of ordering ambiguity for a class of position dependent mass quantum systems with an application to the quadratic Liénard type nonlinear oscillators. (English) Zbl 1308.81074 J. Math. Phys. 56, No. 1, 012103, 20 p. (2015). Reviewer: Josipa Pina Milisic (Zagreb) MSC: 81Q05 81Q10 81Q12 81U15 35Q55 37K10 37K15 PDF BibTeX XML Cite \textit{V. Chithiika Ruby} et al., J. Math. Phys. 56, No. 1, 012103, 20 p. (2015; Zbl 1308.81074) Full Text: DOI arXiv OpenURL
Hào, Dinh Nho; Duc, Nguyen Van; Thang, Nguyen Van Stability estimates for Burgers-type equations backward in time. (English) Zbl 1308.65157 J. Inverse Ill-Posed Probl. 23, No. 1, 41-49 (2015). MSC: 65M30 35Q53 65M12 PDF BibTeX XML Cite \textit{D. N. Hào} et al., J. Inverse Ill-Posed Probl. 23, No. 1, 41--49 (2015; Zbl 1308.65157) Full Text: DOI OpenURL
Pelinovsky, Dmitry E. Spectral stability of nonlinear waves in KdV-type evolution equations. (English) Zbl 1456.37079 Kirillov, Oleg N. (ed.) et al., Nonlinear physical systems. Spectral analysis, stability and bifurcations. London: ISTE; Hoboken, NJ: John Wiley & Sons. Mech. Eng. Solid Mech. Ser., 377-400 (2014). Reviewer: Kaïs Ammari (Monastir) MSC: 37K45 35Q53 35B35 PDF BibTeX XML Cite \textit{D. E. Pelinovsky}, in: Nonlinear physical systems. Spectral analysis, stability and bifurcations. London: ISTE; Hoboken, NJ: John Wiley \& Sons. 377--400 (2014; Zbl 1456.37079) Full Text: DOI arXiv OpenURL
Wen, Huabin; Wang, Yujuan; Song, Yongduan; Karimi, Hamid Reza Global conservative and multipeakon conservative solutions for the modified Camassa-Holm system with coupling effects. (English) Zbl 1407.35181 Math. Probl. Eng. 2014, Article ID 606249, 17 p. (2014). MSC: 35Q53 35Q51 76B15 35B60 35M31 PDF BibTeX XML Cite \textit{H. Wen} et al., Math. Probl. Eng. 2014, Article ID 606249, 17 p. (2014; Zbl 1407.35181) Full Text: DOI OpenURL
Gao, Ben; Zhang, Zhiyong; Chen, Yufu Type-II hidden symmetry and nonlinear self-adjointness of Boiti-Leon-Pempinelli equation. (English) Zbl 1344.35125 Commun. Nonlinear Sci. Numer. Simul. 19, No. 1, 29-36 (2014). MSC: 35Q53 35A30 PDF BibTeX XML Cite \textit{B. Gao} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 1, 29--36 (2014; Zbl 1344.35125) Full Text: DOI OpenURL
Kotschote, Matthias Existence and time-asymptotics of global strong solutions to dynamic Korteweg models. (English) Zbl 1310.76152 Indiana Univ. Math. J. 63, No. 1, 21-51 (2014). MSC: 76N10 35K52 35K55 35L65 35M10 35Q35 35Q53 PDF BibTeX XML Cite \textit{M. Kotschote}, Indiana Univ. Math. J. 63, No. 1, 21--51 (2014; Zbl 1310.76152) Full Text: DOI Link Link OpenURL
Mvogo, Alain; Ben-Bolie, G. H.; Kofané, T. C. Coupled fractional nonlinear differential equations and exact Jacobian elliptic solutions for exciton-phonon dynamics. (English) Zbl 1305.82065 Phys. Lett., A 378, No. 34, 2509-2517 (2014). MSC: 82D60 35Q53 35Q55 42A38 35Q56 35R11 35B10 35C08 PDF BibTeX XML Cite \textit{A. Mvogo} et al., Phys. Lett., A 378, No. 34, 2509--2517 (2014; Zbl 1305.82065) Full Text: DOI OpenURL
Suarez, Jean-Piero; Jacobs, Gustaaf B.; Don, Wai-Sun A high-order Dirac-delta regularization with optimal scaling in the spectral solution of one-dimensional singular hyperbolic conservation laws. (English) Zbl 1308.65173 SIAM J. Sci. Comput. 36, No. 4, A1831-A1849 (2014). MSC: 65M70 35L65 35L67 35Q53 76N15 35M12 76M22 PDF BibTeX XML Cite \textit{J.-P. Suarez} et al., SIAM J. Sci. Comput. 36, No. 4, A1831--A1849 (2014; Zbl 1308.65173) Full Text: DOI OpenURL
Esfahani, Amin; Pourgholi, Reza Well-posedness of the ADMB-KdV equation in Sobolev spaces of negative indices. (English) Zbl 1300.35122 Acta Math. Vietnam. 39, No. 2, 237-251 (2014). MSC: 35Q53 35M10 35G25 42B35 PDF BibTeX XML Cite \textit{A. Esfahani} and \textit{R. Pourgholi}, Acta Math. Vietnam. 39, No. 2, 237--251 (2014; Zbl 1300.35122) Full Text: DOI OpenURL
Olver, Sheehan; Trogdon, Thomas Nonlinear steepest descent and numerical solution of Riemann-Hilbert problems. (English) Zbl 1300.65094 Commun. Pure Appl. Math. 67, No. 8, 1353-1389 (2014). Reviewer: Ilia V. Boikov (Penza) MSC: 65R20 45E05 34M55 35Q53 PDF BibTeX XML Cite \textit{S. Olver} and \textit{T. Trogdon}, Commun. Pure Appl. Math. 67, No. 8, 1353--1389 (2014; Zbl 1300.65094) Full Text: DOI arXiv Link OpenURL
Mi, Yongsheng; Mu, Chunlai The Cauchy problem for an integrable two-component model with peakon solutions. (English) Zbl 1288.35048 Appl. Anal. 93, No. 4, 840-858 (2014). MSC: 35B30 35G25 35A10 35Q53 PDF BibTeX XML Cite \textit{Y. Mi} and \textit{C. Mu}, Appl. Anal. 93, No. 4, 840--858 (2014; Zbl 1288.35048) Full Text: DOI OpenURL
Khare, Avinash; Saxena, Avadh Superposition of elliptic functions as solutions for a large number of nonlinear equations. (English) Zbl 1288.35153 J. Math. Phys. 55, No. 3, 032701, 25 p. (2014). MSC: 35C05 35G20 33C45 33E05 35Q55 PDF BibTeX XML Cite \textit{A. Khare} and \textit{A. Saxena}, J. Math. Phys. 55, No. 3, 032701, 25 p. (2014; Zbl 1288.35153) Full Text: DOI arXiv OpenURL
Xue, Bo; Li, Fang; Geng, Xianguo Quasi-periodic solutions of coupled KdV type equations. (English) Zbl 1420.37093 J. Nonlinear Math. Phys. 20, No. 1, 61-77 (2013). MSC: 37K10 35C08 47J35 34E05 PDF BibTeX XML Cite \textit{B. Xue} et al., J. Nonlinear Math. Phys. 20, No. 1, 61--77 (2013; Zbl 1420.37093) Full Text: DOI OpenURL
Esfahani, Amin; Pourgholi, Reza The ADMB-KdV equation in a time-weighted space. (English) Zbl 1302.35335 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 59, No. 2, 269-283 (2013). MSC: 35Q53 35M10 35G25 42B35 PDF BibTeX XML Cite \textit{A. Esfahani} and \textit{R. Pourgholi}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 59, No. 2, 269--283 (2013; Zbl 1302.35335) Full Text: DOI OpenURL
Mi, Yongsheng; Mu, Chunlai Well-posedness and analyticity for an integrable two-component system with cubic nonlinearity. (English) Zbl 1293.35086 J. Hyperbolic Differ. Equ. 10, No. 4, 703-723 (2013). MSC: 35G55 35B30 35A10 35Q53 35B65 PDF BibTeX XML Cite \textit{Y. Mi} and \textit{C. Mu}, J. Hyperbolic Differ. Equ. 10, No. 4, 703--723 (2013; Zbl 1293.35086) Full Text: DOI OpenURL
Isaza, Pedro Unique continuation principle for high order equations of Korteweg-de Vries type. (English) Zbl 1288.35420 Electron. J. Differ. Equ. 2013, Paper No. 246, 25 p. (2013). MSC: 35Q53 37K05 37K10 PDF BibTeX XML Cite \textit{P. Isaza}, Electron. J. Differ. Equ. 2013, Paper No. 246, 25 p. (2013; Zbl 1288.35420) Full Text: arXiv EMIS OpenURL
Hou, Yu; Fan, Engui; Zhao, Peng Algebro-geometric solutions for the Gerdjikov-Ivanov hierarchy. (English) Zbl 1287.35081 J. Math. Phys. 54, No. 7, 073505, 30 p. (2013). MSC: 35Q55 35C08 37K10 32A20 PDF BibTeX XML Cite \textit{Y. Hou} et al., J. Math. Phys. 54, No. 7, 073505, 30 p. (2013; Zbl 1287.35081) Full Text: DOI arXiv OpenURL
Isaza, Pedro Unique continuation principle for the Ostrovsky equation with negative dispersion. (English) Zbl 1284.35372 J. Differ. Equations 255, No. 5, 796-811 (2013). MSC: 35Q53 37K05 PDF BibTeX XML Cite \textit{P. Isaza}, J. Differ. Equations 255, No. 5, 796--811 (2013; Zbl 1284.35372) Full Text: DOI OpenURL
Bustamante, Eddye; Isaza, Pedro; Mejía, Jorge On uniqueness properties of solutions of the Zakharov-Kuznetsov equation. (English) Zbl 1283.35107 J. Funct. Anal. 264, No. 11, 2529-2549 (2013). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 35A02 PDF BibTeX XML Cite \textit{E. Bustamante} et al., J. Funct. Anal. 264, No. 11, 2529--2549 (2013; Zbl 1283.35107) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J. Cheng} and \textit{D. Zhang}, Front. Math. China 8, No. 5, 1001--1016 (2013; Zbl 1279.39005) Full Text: DOI arXiv OpenURL
Zhang, Yu-Feng; Han, Zhong; Tam, Honwah On integrable properties for two variable-coefficient evolution equations. (English) Zbl 1270.37048 Commun. Theor. Phys. 59, No. 6, 671-678 (2013). MSC: 37K10 37L05 37K35 33C45 35B06 35C08 PDF BibTeX XML Cite \textit{Y.-F. Zhang} et al., Commun. Theor. Phys. 59, No. 6, 671--678 (2013; Zbl 1270.37048) Full Text: DOI OpenURL
Yushkov, E. V. Blowup of solutions of a Korteweg-de Vries-type equation. (English. Russian original) Zbl 1282.35343 Theor. Math. Phys. 172, No. 1, 932-938 (2012); translation from Teor. Mat. Fiz. 172, No. 1, 64-71 (2012). MSC: 35Q53 35B44 35G31 PDF BibTeX XML Cite \textit{E. V. Yushkov}, Theor. Math. Phys. 172, No. 1, 932--938 (2012; Zbl 1282.35343); translation from Teor. Mat. Fiz. 172, No. 1, 64--71 (2012) Full Text: DOI OpenURL
Chen, Jinbing Some algebro-geometric solutions for the coupled modified Kadomtsev-Petviashvili equations arising from the Neumann type systems. (English) Zbl 1288.35417 J. Math. Phys. 53, No. 7, 073513, 25 p. (2012). Reviewer: Ti-Jun Xiao (Fudan) MSC: 35Q53 37K10 37K20 37K25 14H52 14H70 PDF BibTeX XML Cite \textit{J. Chen}, J. Math. Phys. 53, No. 7, 073513, 25 p. (2012; Zbl 1288.35417) Full Text: DOI OpenURL
Esfahani, Amin The ADMB-KdV equation in anisotropic Sobolev spaces. (English) Zbl 1248.35184 Differ. Equ. Appl. 4, No. 3, 459-484 (2012). MSC: 35Q53 35M10 35G25 42B35 PDF BibTeX XML Cite \textit{A. Esfahani}, Differ. Equ. Appl. 4, No. 3, 459--484 (2012; Zbl 1248.35184) Full Text: DOI Link OpenURL
Ghany, H. A.; Fathallah, A. Exact solutions for KdV-Burger equations with an application of white-noise analysis. (English) Zbl 1248.60079 Int. J. Pure Appl. Math. 78, No. 1, 17-28 (2012). MSC: 60H30 60H15 35R60 PDF BibTeX XML Cite \textit{H. A. Ghany} and \textit{A. Fathallah}, Int. J. Pure Appl. Math. 78, No. 1, 17--28 (2012; Zbl 1248.60079) Full Text: Link OpenURL
Bustamante, Eddye; Isaza, Pedro; Mejía, Jorge On uniqueness properties of solutions of the Ostrovsky equation with positive dispersion. (English) Zbl 1253.35145 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 14, 5523-5540 (2012). MSC: 35Q53 37K05 PDF BibTeX XML Cite \textit{E. Bustamante} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 14, 5523--5540 (2012; Zbl 1253.35145) Full Text: DOI OpenURL
Hickman, Mark; Hereman, Willy; Larue, Jennifer; Göktaş, Ünal Scaling invariant Lax pairs of nonlinear evolution equations. (English) Zbl 1247.37046 Appl. Anal. 91, No. 1-2, 381-402 (2012). Reviewer: Dafeng Zuo (Hefei) MSC: 37J35 37K40 35Q51 68W30 47J35 70H06 PDF BibTeX XML Cite \textit{M. Hickman} et al., Appl. Anal. 91, No. 1--2, 381--402 (2012; Zbl 1247.37046) Full Text: DOI arXiv OpenURL
Rogers, C.; Schief, W. K. The pulsrodon in 2+1-dimensional magneto-gasdynamics: Hamiltonian structure and integrability. (English) Zbl 1272.76200 J. Math. Phys. 52, No. 8, 083701, 20 p. (2011). MSC: 76N15 76W05 76U05 70S05 35Q55 37K10 PDF BibTeX XML Cite \textit{C. Rogers} and \textit{W. K. Schief}, J. Math. Phys. 52, No. 8, 083701, 20 p. (2011; Zbl 1272.76200) Full Text: DOI Link OpenURL
DiFranco, Jeffery C.; Miller, Peter D.; Muite, Benson K. On the modified nonlinear Schrödinger equation in the semiclassical limit: supersonic, subsonic, and transonic behavior. (English) Zbl 1265.35226 Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 6, 2343-2377 (2011). MSC: 35M10 35Q15 35Q55 37K10 37K40 PDF BibTeX XML Cite \textit{J. C. DiFranco} et al., Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 6, 2343--2377 (2011; Zbl 1265.35226) Full Text: DOI arXiv OpenURL
Isaza, Pedro; Mejía, Jorge On the support of solutions to the Kadomtsev-Petviashvili (KP-II) equation. (English) Zbl 1231.35202 Commun. Pure Appl. Anal. 10, No. 4, 1239-1255 (2011). MSC: 35Q53 37K05 35B45 PDF BibTeX XML Cite \textit{P. Isaza} and \textit{J. Mejía}, Commun. Pure Appl. Anal. 10, No. 4, 1239--1255 (2011; Zbl 1231.35202) Full Text: DOI OpenURL
Tarasov, V. F. On exact hypergeometric solutions of certain soliton-like equations. (English) Zbl 1230.37091 Int. J. Mod. Phys. B 24, No. 23, 4509-4519 (2010). Reviewer: Jiansheng Geng (Nanjing) MSC: 37K40 37K10 35Q55 35Q51 33C20 PDF BibTeX XML Cite \textit{V. F. Tarasov}, Int. J. Mod. Phys. B 24, No. 23, 4509--4519 (2010; Zbl 1230.37091) Full Text: DOI OpenURL
Mohanty, Ranjan Kumar On the use of AGE algorithm with a high accuracy Numerov type variable mesh discretization for 1D non-linear parabolic equations. (English) Zbl 1197.65126 Numer. Algorithms 54, No. 3, 379-393 (2010). MSC: 65M06 35K61 35Q53 65M15 65M50 PDF BibTeX XML Cite \textit{R. K. Mohanty}, Numer. Algorithms 54, No. 3, 379--393 (2010; Zbl 1197.65126) Full Text: DOI OpenURL
Bona, Jerry L.; Pilod, Didier Stability of solitary-wave solutions to the Hirota-Satsuma equation. (English) Zbl 1192.35146 Discrete Contin. Dyn. Syst. 27, No. 4, 1391-1413 (2010). MSC: 35Q53 35B35 76B25 35A15 76B15 PDF BibTeX XML Cite \textit{J. L. Bona} and \textit{D. Pilod}, Discrete Contin. Dyn. Syst. 27, No. 4, 1391--1413 (2010; Zbl 1192.35146) Full Text: DOI OpenURL
van Groesen, E.; Andonowati; Liam, L. She; Lakhturov, I. Accurate modelling of uni-directional surface waves. (English) Zbl 1407.76018 J. Comput. Appl. Math. 234, No. 6, 1747-1756 (2010). MSC: 76B15 35Q53 37K05 76M25 PDF BibTeX XML Cite \textit{E. van Groesen} et al., J. Comput. Appl. Math. 234, No. 6, 1747--1756 (2010; Zbl 1407.76018) Full Text: DOI OpenURL
Natali, Fábio A note on the stability for Kawahara-KdV type equations. (English) Zbl 1194.35380 Appl. Math. Lett. 23, No. 5, 591-596 (2010). MSC: 35Q53 35C07 35C08 35B35 PDF BibTeX XML Cite \textit{F. Natali}, Appl. Math. Lett. 23, No. 5, 591--596 (2010; Zbl 1194.35380) Full Text: DOI arXiv OpenURL
Isaza, Pedro; Mejía, Jorge On the support of solutions to the Ostrovsky equation with positive dispersion. (English) Zbl 1185.35231 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 11, 4016-4029 (2010). MSC: 35Q53 37K05 35B45 35A24 PDF BibTeX XML Cite \textit{P. Isaza} and \textit{J. Mejía}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 11, 4016--4029 (2010; Zbl 1185.35231) Full Text: DOI OpenURL
Bougoffa, Lazhar; Khanfer, Ammar Particular solutions to equations of sine-Gordon type. (English) Zbl 1186.37074 J. Appl. Math. Comput. 32, No. 2, 303-309 (2010). MSC: 37K10 35Q51 35Q55 PDF BibTeX XML Cite \textit{L. Bougoffa} and \textit{A. Khanfer}, J. Appl. Math. Comput. 32, No. 2, 303--309 (2010; Zbl 1186.37074) Full Text: DOI OpenURL
Gur’eva, A. M. Construction of general solution of degenerating Pohlmeyer-Lund-Regge system. (Russian. English summary) Zbl 1449.37047 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2009, No. 1(18), 271-275 (2009). MSC: 37K10 35L70 35C15 PDF BibTeX XML Cite \textit{A. M. Gur'eva}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2009, No. 1(18), 271--275 (2009; Zbl 1449.37047) Full Text: DOI MNR OpenURL
Chertock, Alina; Kurganov, Alexander On splitting-based numerical methods for convection-diffusion equations. (English) Zbl 1266.65143 Puppo, Gabriella (ed.) et al., Numerical methods for balance laws. Caserta: Dipartimento di Matematica, Seconda Università di Napoli (ISBN 978-88-548-3360-9/hbk). Quaderni di Matematica 24, 303-343 (2009). MSC: 65M06 65M08 65M25 35F21 35K15 35L65 35C15 35Q53 82D60 76B15 76D05 76M20 76M12 PDF BibTeX XML Cite \textit{A. Chertock} and \textit{A. Kurganov}, Quad. Mat. 24, 303--343 (2009; Zbl 1266.65143) OpenURL
Chen, Jinbing Neumann type integrable reduction for nonlinear evolution equations in \(1+1\) and \(2+1\) dimensions. (English) Zbl 1373.37138 J. Math. Phys. 50, No. 12, 123504, 16 p. (2009). MSC: 37J35 37K10 35Q51 35Q53 PDF BibTeX XML Cite \textit{J. Chen}, J. Math. Phys. 50, No. 12, 123504, 16 p. (2009; Zbl 1373.37138) Full Text: DOI OpenURL
Gasnikov, A. V. Time-asymptotic behaviour of a solution of the Cauchy initial-value problem for a conservation law with nonlinear divergent viscosity. (English. Russian original) Zbl 1200.35175 Izv. Math. 73, No. 6, 1111-1148 (2009); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 73, No. 6, 39-76 (2009). MSC: 35K59 35B40 35Q53 35L65 35B50 35B51 35K15 PDF BibTeX XML Cite \textit{A. V. Gasnikov}, Izv. Math. 73, No. 6, 1111--1148 (2009; Zbl 1200.35175); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 73, No. 6, 39--76 (2009) Full Text: DOI OpenURL
Zhuravlev, V. M. The method of generalized Cole-Hopf substitutions and new examples of linearizable nonlinear evolution equations. (English. Russian original) Zbl 1177.35213 Theor. Math. Phys. 158, No. 1, 48-60 (2009); translation from Teor. Mat. Fiz. 158, No. 1, 58-71 (2009). MSC: 35Q53 37K10 35A30 PDF BibTeX XML Cite \textit{V. M. Zhuravlev}, Theor. Math. Phys. 158, No. 1, 48--60 (2009; Zbl 1177.35213); translation from Teor. Mat. Fiz. 158, No. 1, 58--71 (2009) Full Text: DOI OpenURL
Isaza, Pedro; Mejía, Jorge On the support of solutions to the Ostrovsky equation with negative dispersion. (English) Zbl 1175.35125 J. Differ. Equations 247, No. 6, 1851-1865 (2009). MSC: 35Q53 37K05 PDF BibTeX XML Cite \textit{P. Isaza} and \textit{J. Mejía}, J. Differ. Equations 247, No. 6, 1851--1865 (2009; Zbl 1175.35125) Full Text: DOI OpenURL
Bona, J. L.; Dougalis, V. A.; Mitsotakis, D. E. Numerical solution of Boussinesq systems of KdV-KdV type. II: Evolution of radiating solitary waves. (English) Zbl 1158.35411 Nonlinearity 21, No. 12, 2825-2848 (2008). MSC: 35Q53 65M60 65M15 76B15 76B25 PDF BibTeX XML Cite \textit{J. L. Bona} et al., Nonlinearity 21, No. 12, 2825--2848 (2008; Zbl 1158.35411) Full Text: DOI OpenURL
Han, Jinsheng; Peng, Lizhong The well posedness of the dissipative Korteweg-de Vries equations with low regularity data. (English) Zbl 1185.35227 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 1, 171-188 (2008). MSC: 35Q53 35M10 35G25 42B35 PDF BibTeX XML Cite \textit{J. Han} and \textit{L. Peng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 1, 171--188 (2008; Zbl 1185.35227) Full Text: DOI OpenURL
Herr, Sebastian Well-posedness for equations of Benjamin-Ono type. (English) Zbl 1215.35136 Ill. J. Math. 51, No. 3, 951-976 (2007). MSC: 35Q53 35B30 76B03 76B15 PDF BibTeX XML Cite \textit{S. Herr}, Ill. J. Math. 51, No. 3, 951--976 (2007; Zbl 1215.35136) OpenURL
El-Wakil, S. A.; Abdou, M. A. Modified extended tanh-function method for solving nonlinear partial differential equations. (English) Zbl 1139.35389 Chaos Solitons Fractals 31, No. 5, 1256-1264 (2007). MSC: 35Q53 35A20 35-04 35K55 PDF BibTeX XML Cite \textit{S. A. El-Wakil} and \textit{M. A. Abdou}, Chaos Solitons Fractals 31, No. 5, 1256--1264 (2007; Zbl 1139.35389) Full Text: DOI OpenURL
Fröhlich, Jürg; Lenzmann, Enno Blowup for nonlinear wave equations describing boson stars. (English) Zbl 1135.35011 Commun. Pure Appl. Math. 60, No. 11, 1691-1705 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35B05 35S10 35L70 85A05 35Q53 PDF BibTeX XML Cite \textit{J. Fröhlich} and \textit{E. Lenzmann}, Commun. Pure Appl. Math. 60, No. 11, 1691--1705 (2007; Zbl 1135.35011) Full Text: DOI arXiv OpenURL
Ji, Xiaoda; Levi, D.; Petrera, M. Multiscale expansion of the lattice sine-Gordon equation. (English) Zbl 1127.39033 Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 305-314 (2007). MSC: 39A12 35Q53 35Q55 PDF BibTeX XML Cite \textit{X. Ji} et al., in: Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25--30, 2005. Hackensack, NJ: World Scientific. 305--314 (2007; Zbl 1127.39033) Full Text: arXiv OpenURL
Ilison, Lauri; Salupere, Andrus; Peterson, Pearu On the propagation of localized perturbations in media with microstructure. (English) Zbl 1139.74422 Proc. Est. Acad. Sci., Phys. Math. 56, No. 2, 84-92 (2007). MSC: 74J30 74M25 74E20 35Q53 35Q51 PDF BibTeX XML Cite \textit{L. Ilison} et al., Proc. Est. Acad. Sci., Phys. Math. 56, No. 2, 84--92 (2007; Zbl 1139.74422) OpenURL
Li, Jibin; Wu, Jianhong; Zhu, Huaiping Traveling waves for an integrable higher order KdV type wave equations. (English) Zbl 1192.37100 Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 8, 2235-2260 (2006). MSC: 37K40 34C05 35Q53 76B15 76B25 PDF BibTeX XML Cite \textit{J. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 8, 2235--2260 (2006; Zbl 1192.37100) Full Text: DOI OpenURL
Liu, Shikuo; Fu, Zuntao; Liu, Shida Exact solutions to sine-Gordon-type equations. (English) Zbl 1234.35227 Phys. Lett., A 351, No. 1-2, 59-63 (2006). MSC: 35Q53 35C05 35L70 33C45 PDF BibTeX XML Cite \textit{S. Liu} et al., Phys. Lett., A 351, No. 1--2, 59--63 (2006; Zbl 1234.35227) Full Text: DOI OpenURL