Li, Chunhui; Zhu, Mengkun; Wang, Dan; Zhang, Jinyu; Wang, Xiaoli Integrability of a generalized (2+1)-dimensional soliton equation via Bell polynomials. (English) Zbl 07686155 Z. Angew. Math. Phys. 74, No. 2, Paper No. 62, 12 p. (2023). MSC: 35Q51 35C08 37K10 37K35 11B83 PDF BibTeX XML Cite \textit{C. Li} et al., Z. Angew. Math. Phys. 74, No. 2, Paper No. 62, 12 p. (2023; Zbl 07686155) Full Text: DOI OpenURL
Sun, Shi-Fei; Li, Biao A \(\overline{\partial } \)-dressing method for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation. (English) Zbl 07676400 J. Nonlinear Math. Phys. 30, No. 1, 201-214 (2023). MSC: 35Q55 35Q51 35C05 37K10 37K40 37K20 PDF BibTeX XML Cite \textit{S.-F. Sun} and \textit{B. Li}, J. Nonlinear Math. Phys. 30, No. 1, 201--214 (2023; Zbl 07676400) Full Text: DOI OpenURL
Takemura, Kouichi On symmetry of \(q\)-Painlevé equations and associated linear equations. (English) Zbl 07675560 RIMS Kôkyûroku Bessatsu B91, 103-119 (2023). MSC: 33E17 39A13 PDF BibTeX XML Cite \textit{K. Takemura}, RIMS Kôkyûroku Bessatsu B91, 103--119 (2023; Zbl 07675560) Full Text: arXiv Link OpenURL
Sasaki, Shoko; Takagi, Shun; Takemura, Kouichi \(q\)-Heun equation and initial-value space of \(q\)-Painlevé equation. (English) Zbl 07672797 Filipuk, Galina (ed.) et al., Recent trends in formal and analytic solutions of diff. equations. Virtual conference, University of Alcalá, Alcalá de Henares, Spain, June 28 – July 2, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 782, 119-142 (2023). Reviewer: Mengkun Zhu (Jinan) MSC: 39A13 33E17 33D05 33D70 PDF BibTeX XML Cite \textit{S. Sasaki} et al., Contemp. Math. 782, 119--142 (2023; Zbl 07672797) Full Text: DOI arXiv OpenURL
Tela, Guesh Yfter; Zhao, Song-Lin; Zhang, Da-Jun On the fourth-order lattice Gel’fand-Dikii equations. (English) Zbl 07667624 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 007, 30 p. (2023). MSC: 35Q53 35C08 37K60 37K35 37K10 35G05 39A36 PDF BibTeX XML Cite \textit{G. Y. Tela} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 007, 30 p. (2023; Zbl 07667624) Full Text: DOI arXiv OpenURL
Eren, Kemal Forming coupled dispersionless equations of families of Bertrand curves. (English) Zbl 07662835 Turk. J. Math. 47, No. 1, 87-97 (2023). MSC: 53A04 35Q70 PDF BibTeX XML Cite \textit{K. Eren}, Turk. J. Math. 47, No. 1, 87--97 (2023; Zbl 07662835) Full Text: DOI OpenURL
Guan, Xue; Yang, Hujiang; Meng, Xiankui; Liu, Wenjun Higher-order rogue waves solutions of the modified Gerdjikov-Ivanov equation with dispersion via generalized Darboux transformation. (English) Zbl 1504.35010 Appl. Math. Lett. 136, Article ID 108466, 5 p. (2023). MSC: 35A22 35Q60 PDF BibTeX XML Cite \textit{X. Guan} et al., Appl. Math. Lett. 136, Article ID 108466, 5 p. (2023; Zbl 1504.35010) Full Text: DOI OpenURL
Zhang, Minghe; Weng, Weifang; Yan, Zhenya \(N\)-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method. (English) Zbl 07655115 Wave Motion 114, Article ID 103053, 13 p. (2022). MSC: 35-XX 65-XX PDF BibTeX XML Cite \textit{M. Zhang} et al., Wave Motion 114, Article ID 103053, 13 p. (2022; Zbl 07655115) Full Text: DOI OpenURL
Cariñena, J. F.; de Lucas, J.; Wysocki, D. Stratified Lie systems: theory and applications. (English) Zbl 07648127 J. Phys. A, Math. Theor. 55, No. 38, Article ID 385206, 31 p. (2022). MSC: 34C14 34C40 17B80 37J38 34A05 PDF BibTeX XML Cite \textit{J. F. Cariñena} et al., J. Phys. A, Math. Theor. 55, No. 38, Article ID 385206, 31 p. (2022; Zbl 07648127) Full Text: DOI arXiv OpenURL
Shen, Yuan; Tian, Bo; Zhou, Tian-Yu; Gao, Xiao-Tian Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions. (English) Zbl 1508.35159 Chaos Solitons Fractals 164, Article ID 112460, 7 p. (2022). MSC: 35Q55 37K10 37K35 37K40 PDF BibTeX XML Cite \textit{Y. Shen} et al., Chaos Solitons Fractals 164, Article ID 112460, 7 p. (2022; Zbl 1508.35159) Full Text: DOI OpenURL
Pu, Jun-cai; Chen, Yong Integrability and exact solutions of the (2+1)-dimensional KdV equation with Bell polynomials approach. (English) Zbl 1501.35351 Acta Math. Appl. Sin., Engl. Ser. 38, No. 4, 861-881 (2022). MSC: 35Q53 35Q51 35C15 35C08 35B40 37K10 37K35 41A58 PDF BibTeX XML Cite \textit{J.-c. Pu} and \textit{Y. Chen}, Acta Math. Appl. Sin., Engl. Ser. 38, No. 4, 861--881 (2022; Zbl 1501.35351) Full Text: DOI OpenURL
Zhang, Yan; Hao, Hui-Qin; Guo, Rui Periodic solutions and Whitham modulation equations for the Lakshmanan-Porsezian-Daniel equation. (English) Zbl 07600398 Phys. Lett., A 450, Article ID 128369, 19 p. (2022). MSC: 35B10 33E05 35Q55 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Phys. Lett., A 450, Article ID 128369, 19 p. (2022; Zbl 07600398) Full Text: DOI OpenURL
Wu, Fan; Huang, Lin N-soliton solutions for the coupled extended modified KdV equations via Riemann-Hilbert approach. (English) Zbl 1501.35354 Appl. Math. Lett. 134, Article ID 108390, 7 p. (2022). MSC: 35Q53 35Q15 37K15 37K35 37K10 35C08 35B40 PDF BibTeX XML Cite \textit{F. Wu} and \textit{L. Huang}, Appl. Math. Lett. 134, Article ID 108390, 7 p. (2022; Zbl 1501.35354) Full Text: DOI OpenURL
Li, Nianhua; Liu, Q. P. Smooth multisoliton solutions of a 2-component peakon system with cubic nonlinearity. (English) Zbl 1497.35412 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 066, 14 p. (2022). MSC: 35Q51 35Q53 35C08 35B65 37K10 37K35 PDF BibTeX XML Cite \textit{N. Li} and \textit{Q. P. Liu}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 066, 14 p. (2022; Zbl 1497.35412) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{B. K. Berntson} et al., Nonlinearity 35, No. 8, 4549--4584 (2022; Zbl 1496.35308) Full Text: DOI arXiv OpenURL
Fokas, A. S. An extension of integrable equations. (English) Zbl 1502.35075 Phys. Lett., A 447, Article ID 128290, 4 p. (2022). MSC: 35Q15 37K10 37K35 44A15 PDF BibTeX XML Cite \textit{A. S. Fokas}, Phys. Lett., A 447, Article ID 128290, 4 p. (2022; Zbl 1502.35075) Full Text: DOI OpenURL
Zhou, Tian-Yu; Tian, Bo Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended \((3+1)\)-dimensional nonlinear Schrödinger equation in an optical fiber. (English) Zbl 1496.35374 Appl. Math. Lett. 133, Article ID 108280, 6 p. (2022). MSC: 35Q55 78A60 37K35 37K40 35C08 PDF BibTeX XML Cite \textit{T.-Y. Zhou} and \textit{B. Tian}, Appl. Math. Lett. 133, Article ID 108280, 6 p. (2022; Zbl 1496.35374) Full Text: DOI OpenURL
Rashed, Ahmed S.; Mabrouk, Samah M.; Wazwaz, Abdul-Majid Forward scattering for non-linear wave propagation in \((3 + 1)\)-dimensional Jimbo-Miwa equation using singular manifold and group transformation methods. (English) Zbl 1505.76128 Waves Random Complex Media 32, No. 2, 663-675 (2022). MSC: 76X05 76M60 37N10 37N20 35P25 PDF BibTeX XML Cite \textit{A. S. Rashed} et al., Waves Random Complex Media 32, No. 2, 663--675 (2022; Zbl 1505.76128) Full Text: DOI OpenURL
Bothner, Thomas; Cafasso, Mattia; Tarricone, Sofia Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel. (English) Zbl 1494.30074 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 3, 1505-1546 (2022). MSC: 30E25 42A38 45J05 PDF BibTeX XML Cite \textit{T. Bothner} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 3, 1505--1546 (2022; Zbl 1494.30074) Full Text: DOI arXiv OpenURL
Deift, Percy; Li, Luen-Chau; Spohn, Herbert; Tomei, Carlos; Trogdon, Thomas On the open Toda chain with external forcing. (English) Zbl 1507.37075 Pure Appl. Funct. Anal. 7, No. 3, 915-945 (2022). Reviewer: Giovanni Rastelli (Vercelli) MSC: 37J35 70H06 PDF BibTeX XML Cite \textit{P. Deift} et al., Pure Appl. Funct. Anal. 7, No. 3, 915--945 (2022; Zbl 1507.37075) Full Text: arXiv Link OpenURL
Yin, Yue; Fu, Wei Integrable semi-discretisation of the Drinfel’d-Sokolov hierarchies. (English) Zbl 1501.37071 Nonlinearity 35, No. 7, 3324-3357 (2022). MSC: 37K10 37K15 37K30 37K60 39A36 39A14 PDF BibTeX XML Cite \textit{Y. Yin} and \textit{W. Fu}, Nonlinearity 35, No. 7, 3324--3357 (2022; Zbl 1501.37071) Full Text: DOI arXiv OpenURL
Berjawi, S.; Ferapontov, E. V.; Kruglikov, B. S.; Novikov, V. S. Second-order PDEs in 3D with Einstein-Weyl conformal structure. (English) Zbl 1492.35333 Ann. Henri Poincaré 23, No. 7, 2579-2609 (2022). MSC: 35Q75 35Q76 35J96 37K10 37K35 53A40 53B50 53C25 PDF BibTeX XML Cite \textit{S. Berjawi} et al., Ann. Henri Poincaré 23, No. 7, 2579--2609 (2022; Zbl 1492.35333) Full Text: DOI arXiv OpenURL
Xu, Gui-qiong; Liu, Yin-ping; Cui, Wen-ying Painlevé analysis, integrability property and multiwave interaction solutions for a new (4+1)-dimensional KdV-Calogero-Bogoyavlenkskii-Schiff equation. (English) Zbl 1492.35290 Appl. Math. Lett. 132, Article ID 108184, 8 p. (2022). MSC: 35Q53 35C08 37K35 37K10 PDF BibTeX XML Cite \textit{G.-q. Xu} et al., Appl. Math. Lett. 132, Article ID 108184, 8 p. (2022; Zbl 1492.35290) Full Text: DOI OpenURL
Sheftel, M. B.; Yazıcı, D. Recursion operators and bi-Hamiltonian representations of cubic evolutionary (2+1)-dimensional systems. (English) Zbl 1498.37105 Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106527, 15 p. (2022). MSC: 37K10 37K06 70H45 PDF BibTeX XML Cite \textit{M. B. Sheftel} and \textit{D. Yazıcı}, Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106527, 15 p. (2022; Zbl 1498.37105) Full Text: DOI arXiv OpenURL
Luo, Jinghua; Fan, Engui \( \overline{\partial} \)-dressing method for the nonlocal mKdV equation. (English) Zbl 1489.35241 J. Geom. Phys. 177, Article ID 104550, 8 p. (2022). MSC: 35Q53 35C08 35P05 37K10 PDF BibTeX XML Cite \textit{J. Luo} and \textit{E. Fan}, J. Geom. Phys. 177, Article ID 104550, 8 p. (2022; Zbl 1489.35241) Full Text: DOI OpenURL
Nakazono, Nobutaka Properties of the non-autonomous lattice sine-Gordon equation: consistency around a broken cube property. (English) Zbl 1497.37092 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 032, 8 p. (2022). MSC: 37K60 39A36 39A14 PDF BibTeX XML Cite \textit{N. Nakazono}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 032, 8 p. (2022; Zbl 1497.37092) Full Text: DOI arXiv OpenURL
Veni, S. Saravana; Rajan, M. S. Mani Attosecond soliton switching through the interactions of two and three solitons in an inhomogeneous fiber. (English) Zbl 1496.35369 Chaos Solitons Fractals 152, Article ID 111390, 8 p. (2021). MSC: 35Q55 78A60 35C08 37J35 68W30 PDF BibTeX XML Cite \textit{S. S. Veni} and \textit{M. S. M. Rajan}, Chaos Solitons Fractals 152, Article ID 111390, 8 p. (2021; Zbl 1496.35369) Full Text: DOI OpenURL
Yang, Dan-Yu; Tian, Bo; Qu, Qi-Xing; Zhang, Chen-Rong; Chen, Su-Su; Wei, Cheng-Cheng Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber. (English) Zbl 1491.78015 Chaos Solitons Fractals 150, Article ID 110487, 8 p. (2021). MSC: 78A60 35C08 37K35 37K40 35Q55 35Q51 PDF BibTeX XML Cite \textit{D.-Y. Yang} et al., Chaos Solitons Fractals 150, Article ID 110487, 8 p. (2021; Zbl 1491.78015) Full Text: DOI OpenURL
Zhang, Wen-Xin; Liu, Yaqing Solitary wave solutions and integrability for generalized nonlocal complex modified Korteweg-de Vries (cmKdV) equations. (English) Zbl 07536377 AIMS Math. 6, No. 10, 11046-11075 (2021). MSC: 35Q51 37K40 PDF BibTeX XML Cite \textit{W.-X. Zhang} and \textit{Y. Liu}, AIMS Math. 6, No. 10, 11046--11075 (2021; Zbl 07536377) Full Text: DOI OpenURL
Yang, Yiling; Fan, Engui Riemann-Hilbert approach to the modified nonlinear Schrödinger equation with non-vanishing asymptotic boundary conditions. (English) Zbl 1507.35132 Physica D 417, Article ID 132811, 20 p. (2021). MSC: 35Q15 35Q55 35Q41 78A60 35B40 35C08 35P25 35A01 35A02 37K15 37K40 PDF BibTeX XML Cite \textit{Y. Yang} and \textit{E. Fan}, Physica D 417, Article ID 132811, 20 p. (2021; Zbl 1507.35132) Full Text: DOI arXiv OpenURL
Hu, Beibei; Zhang, Ling; Li, Qinghong; Zhang, Ning Riemann-Hilbert problem associated with the fourth-order dispersive nonlinear Schrödinger equation in optics and magnetic mechanics. (English) Zbl 1482.35077 J. Nonlinear Math. Phys. 28, No. 4, 414-435 (2021). MSC: 35G31 35Q15 35Q60 37N15 PDF BibTeX XML Cite \textit{B. Hu} et al., J. Nonlinear Math. Phys. 28, No. 4, 414--435 (2021; Zbl 1482.35077) Full Text: DOI arXiv OpenURL
Nakamura, Akane; Rains, Eric Uniqueness of polarization for the autonomous 4-dimensional Painlevé-type systems. (English) Zbl 1491.34099 Int. Math. Res. Not. 2021, No. 18, 14204-14219 (2021). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M55 14H70 34M35 37J35 PDF BibTeX XML Cite \textit{A. Nakamura} and \textit{E. Rains}, Int. Math. Res. Not. 2021, No. 18, 14204--14219 (2021; Zbl 1491.34099) Full Text: DOI arXiv OpenURL
Yu, Fajun; Liu, Yiyan; Li, Li Exact solutions for the nonlocal MKdV equation on plane wave backgrounds. (Chinese. English summary) Zbl 1488.35496 J. Shenyang Norm. Univ., Nat. Sci. 39, No. 2, 153-158 (2021). MSC: 35Q53 35C08 PDF BibTeX XML Cite \textit{F. Yu} et al., J. Shenyang Norm. Univ., Nat. Sci. 39, No. 2, 153--158 (2021; Zbl 1488.35496) Full Text: DOI OpenURL
Kappeler, Thomas; Widmer, Yannick On nomalized differentials on spectral curves associated with the sinh-Gordon equation. (English) Zbl 07433997 J. Geom. Mech. 13, No. 1, 73-143 (2021). Reviewer: Solomon Manukure (Tallahassee) MSC: 37K25 37K20 37K10 35Q51 PDF BibTeX XML Cite \textit{T. Kappeler} and \textit{Y. Widmer}, J. Geom. Mech. 13, No. 1, 73--143 (2021; Zbl 07433997) Full Text: DOI arXiv OpenURL
Nagao, Hidehito The Padé interpolation method applied to additive difference Painlevé equations. (English) Zbl 1492.41004 Lett. Math. Phys. 111, No. 6, Paper No. 135, 28 p. (2021). MSC: 41A21 33D15 34M55 39A10 41A05 PDF BibTeX XML Cite \textit{H. Nagao}, Lett. Math. Phys. 111, No. 6, Paper No. 135, 28 p. (2021; Zbl 1492.41004) Full Text: DOI arXiv OpenURL
Kuznetsova, Maria N. Lax pair for a novel two-dimensional lattice. (English) Zbl 1483.37093 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 088, 13 p. (2021). MSC: 37K60 37K30 37K10 39A36 PDF BibTeX XML Cite \textit{M. N. Kuznetsova}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 088, 13 p. (2021; Zbl 1483.37093) Full Text: DOI arXiv OpenURL
Albares, P.; Estévez, P. G.; Lejarreta, J. D. Derivative non-linear Schrödinger equation: singular manifold method and Lie symmetries. (English) Zbl 1508.35138 Appl. Math. Comput. 400, Article ID 126089, 20 p. (2021). MSC: 35Q55 37K10 PDF BibTeX XML Cite \textit{P. Albares} et al., Appl. Math. Comput. 400, Article ID 126089, 20 p. (2021; Zbl 1508.35138) Full Text: DOI arXiv OpenURL
He, Cheng; Qu, Changzheng Global conservative weak solutions for the two-component Novikov equation. (English) Zbl 1481.35123 J. Math. Phys. 62, No. 10, Article ID 101509, 20 p. (2021). MSC: 35D30 35G55 37K40 PDF BibTeX XML Cite \textit{C. He} and \textit{C. Qu}, J. Math. Phys. 62, No. 10, Article ID 101509, 20 p. (2021; Zbl 1481.35123) Full Text: DOI OpenURL
Poon, Edward; Woerdeman, Hugo J. Isospectrality and matrices with concentric circular higher rank numerical ranges. (English) Zbl 1476.15018 Linear Algebra Appl. 631, 174-180 (2021). Reviewer: Tin Yau Tam (Reno) MSC: 15A18 15B57 15A22 15A60 PDF BibTeX XML Cite \textit{E. Poon} and \textit{H. J. Woerdeman}, Linear Algebra Appl. 631, 174--180 (2021; Zbl 1476.15018) Full Text: DOI arXiv OpenURL
Dong, Min-Jie; Tian, Li-Xin; Wei, Jing-Dong; Wang, Yun Some localized wave solutions for the coupled Gerdjikov-Ivanov equation. (English) Zbl 1479.35780 Appl. Math. Lett. 122, Article ID 107483, 7 p. (2021). MSC: 35Q55 35Q41 35C20 35C08 37K35 PDF BibTeX XML Cite \textit{M.-J. Dong} et al., Appl. Math. Lett. 122, Article ID 107483, 7 p. (2021; Zbl 1479.35780) Full Text: DOI OpenURL
Sinthuja, N.; Manikandan, K.; Senthilvelan, M. Formation of rogue waves on the periodic background in a fifth-order nonlinear Schrödinger equation. (English) Zbl 07412670 Phys. Lett., A 415, Article ID 127640, 13 p. (2021). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{N. Sinthuja} et al., Phys. Lett., A 415, Article ID 127640, 13 p. (2021; Zbl 07412670) Full Text: DOI arXiv OpenURL
Luo, Jinghua; Fan, Engui Dbar-dressing method for the Gerdjikov-Ivanov equation with nonzero boundary conditions. (English) Zbl 1479.35809 Appl. Math. Lett. 120, Article ID 107297, 10 p. (2021). MSC: 35Q55 35Q41 35Q51 35C08 37K35 37K40 PDF BibTeX XML Cite \textit{J. Luo} and \textit{E. Fan}, Appl. Math. Lett. 120, Article ID 107297, 10 p. (2021; Zbl 1479.35809) Full Text: DOI OpenURL
Liu, De-Yin; Yu, Hui Min Mixed localized wave solutions of the Hirota equation. (English) Zbl 1479.35804 Appl. Math. Lett. 118, Article ID 107154, 7 p. (2021). MSC: 35Q55 35Q41 35C08 37K35 37K40 PDF BibTeX XML Cite \textit{D.-Y. Liu} and \textit{H. M. Yu}, Appl. Math. Lett. 118, Article ID 107154, 7 p. (2021; Zbl 1479.35804) Full Text: DOI OpenURL
Habibullin, Ismagil Talgatovich; Khakimova, Aigul Rinatovna; Smirnov, Aleksandr Olegovich Generalized invariant manifolds for integrable equations and their applications. (English) Zbl 1488.35463 Ufim. Mat. Zh. 13, No. 2, 141-157 (2021) and Ufa Math. J. 13, No. 2, 135-151 (2021). MSC: 35Q51 35Q53 35Q55 PDF BibTeX XML Cite \textit{I. T. Habibullin} et al., Ufim. Mat. Zh. 13, No. 2, 141--157 (2021; Zbl 1488.35463) Full Text: DOI arXiv MNR OpenURL
Adler, Vsevolod Eduardovich Differential substitutions for non-abelian equations of KdV type. (English) Zbl 1488.35473 Ufim. Mat. Zh. 13, No. 2, 112-120 (2021) and Ufa Math. J. 13, No. 2, 107-114 (2021). MSC: 35Q53 37K30 37K35 PDF BibTeX XML Cite \textit{V. E. Adler}, Ufim. Mat. Zh. 13, No. 2, 112--120 (2021; Zbl 1488.35473) Full Text: DOI arXiv MNR OpenURL
Wu, Rile; Zha, Qilao A Darboux transformation and the conservation laws for the modified Boussinesq equation. (Chinese. English summary) Zbl 1488.37059 Math. Pract. Theory 51, No. 9, 166-170 (2021). MSC: 37K35 35Q51 35A30 PDF BibTeX XML Cite \textit{R. Wu} and \textit{Q. Zha}, Math. Pract. Theory 51, No. 9, 166--170 (2021; Zbl 1488.37059) OpenURL
Melikyan, A.; Weber, G. The Lax pair for the fermionic Bazhanov-Stroganov \(R\)-operator. (English) Zbl 1476.81103 Phys. Lett., B 812, Article ID 136005, 7 p. (2021). MSC: 81T35 81Q80 81V74 81T27 16T25 82B20 81R20 PDF BibTeX XML Cite \textit{A. Melikyan} and \textit{G. Weber}, Phys. Lett., B 812, Article ID 136005, 7 p. (2021; Zbl 1476.81103) Full Text: DOI arXiv OpenURL
Novokshenov, V. Yu. Parametric resonance in integrable systems and averaging on Riemann surfaces. (English. Russian original) Zbl 1481.37060 J. Math. Sci., New York 258, No. 1, 65-80 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 65-80 (2019). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J38 14H70 70K28 70K43 PDF BibTeX XML Cite \textit{V. Yu. Novokshenov}, J. Math. Sci., New York 258, No. 1, 65--80 (2021; Zbl 1481.37060); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 65--80 (2019) Full Text: DOI OpenURL
Wael, Shrouk; Seadawy, Aly R.; Moawad, Salah M.; El-Kalaawy, Omar H. Bilinear Bäcklund transformation, \(N\)-soliton, and infinite conservation laws for Lax-Kadomtsev-Petviashvili and generalized Korteweg-de Vries equations. (English) Zbl 1473.35098 Math. Methods Appl. Sci. 44, No. 14, 11591-11612 (2021). MSC: 35C08 35Q53 37J25 58J72 74J30 74J35 PDF BibTeX XML Cite \textit{S. Wael} et al., Math. Methods Appl. Sci. 44, No. 14, 11591--11612 (2021; Zbl 1473.35098) Full Text: DOI OpenURL
Habibullin, I. T.; Khakimova, A. R. Invariant manifolds of hyperbolic integrable equations and their applications. (English. Russian original) Zbl 1471.35201 J. Math. Sci., New York 257, No. 3, 410-423 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 162, 136-150 (2019). MSC: 35L70 37K10 39A14 PDF BibTeX XML Cite \textit{I. T. Habibullin} and \textit{A. R. Khakimova}, J. Math. Sci., New York 257, No. 3, 410--423 (2021; Zbl 1471.35201); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 162, 136--150 (2019) Full Text: DOI arXiv OpenURL
Zhang, Guoqiang; Ling, Liming; Yan, Zhenya Multi-component nonlinear Schrödinger equations with nonzero boundary conditions: higher-order vector Peregrine solitons and asymptotic estimates. (English) Zbl 1476.35252 J. Nonlinear Sci. 31, No. 5, Paper No. 81, 52 p. (2021). MSC: 35Q55 35Q51 35Q15 37K40 37K10 37K35 35C08 PDF BibTeX XML Cite \textit{G. Zhang} et al., J. Nonlinear Sci. 31, No. 5, Paper No. 81, 52 p. (2021; Zbl 1476.35252) Full Text: DOI arXiv OpenURL
Gérard, Patrick; Kappeler, Thomas On the integrability of the Benjamin-Ono equation on the torus. (English) Zbl 1471.35354 Commun. Pure Appl. Math. 74, No. 8, 1685-1747 (2021). MSC: 35S16 37K10 PDF BibTeX XML Cite \textit{P. Gérard} and \textit{T. Kappeler}, Commun. Pure Appl. Math. 74, No. 8, 1685--1747 (2021; Zbl 1471.35354) Full Text: DOI arXiv OpenURL
Kryński, Wojciech; Makhmali, Omid The Cayley cubic and differential equations. (English) Zbl 1497.53056 J. Geom. Anal. 31, No. 6, 6219-6273 (2021). Reviewer: Simona Druta-Romaniuc (Iaşi) MSC: 53C10 53A20 53A31 53B15 53B25 58A15 37K10 PDF BibTeX XML Cite \textit{W. Kryński} and \textit{O. Makhmali}, J. Geom. Anal. 31, No. 6, 6219--6273 (2021; Zbl 1497.53056) Full Text: DOI arXiv OpenURL
Zhang, Ning; Xu, Xi-Xiang Notes on “Infinite number of conservation laws and Darboux transformations for a 6-field integrable lattice system”. (English) Zbl 1465.37076 Int. J. Mod. Phys. B 35, No. 12, Article ID 2150141, 7 p. (2021). MSC: 37K10 37K06 37K35 PDF BibTeX XML Cite \textit{N. Zhang} and \textit{X.-X. Xu}, Int. J. Mod. Phys. B 35, No. 12, Article ID 2150141, 7 p. (2021; Zbl 1465.37076) Full Text: DOI OpenURL
Li, Jian; Xia, Tiecheng; Wei, Hanyu The \(N\)-soliton solutions to the Hirota and Maxwell-Bloch equation via the Riemann-Hilbert approach. (English) Zbl 1465.35347 Int. J. Mod. Phys. B 35, No. 11, Article ID 2150153, 9 p. (2021). MSC: 35Q40 35C08 35Q15 PDF BibTeX XML Cite \textit{J. Li} et al., Int. J. Mod. Phys. B 35, No. 11, Article ID 2150153, 9 p. (2021; Zbl 1465.35347) Full Text: DOI OpenURL
Luo, Jinghua; Fan, Engui A \(\overline{\partial}\)-dressing approach to the Kundu-Eckhaus equation. (English) Zbl 1473.35511 J. Geom. Phys. 167, Article ID 104291, 10 p. (2021). MSC: 35Q55 35C08 30E25 37K10 37K35 PDF BibTeX XML Cite \textit{J. Luo} and \textit{E. Fan}, J. Geom. Phys. 167, Article ID 104291, 10 p. (2021; Zbl 1473.35511) Full Text: DOI OpenURL
Kalmes, Thomas An approximation theorem of Runge type for kernels of certain non-elliptic partial differential operators. (English) Zbl 1468.35008 Bull. Sci. Math. 170, Article ID 103012, 26 p. (2021). MSC: 35A35 35E20 PDF BibTeX XML Cite \textit{T. Kalmes}, Bull. Sci. Math. 170, Article ID 103012, 26 p. (2021; Zbl 1468.35008) Full Text: DOI arXiv OpenURL
Correa, Eder M.; Grama, Lino Lax formalism for Gelfand-Tsetlin integrable systems. (English) Zbl 1479.37063 Bull. Sci. Math. 170, Article ID 102999, 40 p. (2021). Reviewer: Yarema Prykarpatskyy (Kraków) MSC: 37J37 37J39 37J35 17B80 14H70 PDF BibTeX XML Cite \textit{E. M. Correa} and \textit{L. Grama}, Bull. Sci. Math. 170, Article ID 102999, 40 p. (2021; Zbl 1479.37063) Full Text: DOI arXiv OpenURL
Bracken, Paul Classically integrable non-linear sigma models and their geometric properties. (English) Zbl 1468.53079 J. Geom. Symmetry Phys. 59, 47-65 (2021). MSC: 53Z05 53A05 PDF BibTeX XML Cite \textit{P. Bracken}, J. Geom. Symmetry Phys. 59, 47--65 (2021; Zbl 1468.53079) Full Text: DOI OpenURL
Talbut, Blaine Low regularity conservation laws for the Benjamin-Ono equation. (English) Zbl 1471.34034 Math. Res. Lett. 28, No. 3, 889-905 (2021). Reviewer: Anthony D. Osborne (Keele) MSC: 34A34 34C40 PDF BibTeX XML Cite \textit{B. Talbut}, Math. Res. Lett. 28, No. 3, 889--905 (2021; Zbl 1471.34034) Full Text: DOI arXiv OpenURL
Yao, Yuqin; Huang, Yehui; Fan, Engui The \(\overline{\partial} \)-dressing method and Cauchy matrix for the defocusing matrix NLS system. (English) Zbl 1462.35370 Appl. Math. Lett. 117, Article ID 107143, 8 p. (2021). MSC: 35Q55 35C08 35P05 78A60 37K35 PDF BibTeX XML Cite \textit{Y. Yao} et al., Appl. Math. Lett. 117, Article ID 107143, 8 p. (2021; Zbl 1462.35370) Full Text: DOI OpenURL
Liu, Leilei; Zhang, Weiguo On a Riemann-Hilbert problem for the focusing nonlocal mKdV equation with step-like initial data. (English) Zbl 1466.35278 Appl. Math. Lett. 116, Article ID 107009, 7 p. (2021). MSC: 35Q15 35Q53 35C08 37K10 PDF BibTeX XML Cite \textit{L. Liu} and \textit{W. Zhang}, Appl. Math. Lett. 116, Article ID 107009, 7 p. (2021; Zbl 1466.35278) Full Text: DOI OpenURL
Kudryashov, Nikolay A. Lax pairs for one of hierarchies similar to the first Painlevé hierarchy. (English) Zbl 1469.34117 Appl. Math. Lett. 116, Article ID 107003, 7 p. (2021). Reviewer: Mengkun Zhu (Jinan) MSC: 34M55 PDF BibTeX XML Cite \textit{N. A. Kudryashov}, Appl. Math. Lett. 116, Article ID 107003, 7 p. (2021; Zbl 1469.34117) Full Text: DOI OpenURL
Du, Zhong; Ma, Yan-Peng Beak-shaped rogue waves for a higher-order coupled nonlinear Schrödinger system with \(4 \times 4\) Lax pair. (English) Zbl 1481.35113 Appl. Math. Lett. 116, Article ID 106999, 7 p. (2021). MSC: 35C08 35Q55 PDF BibTeX XML Cite \textit{Z. Du} and \textit{Y.-P. Ma}, Appl. Math. Lett. 116, Article ID 106999, 7 p. (2021; Zbl 1481.35113) Full Text: DOI OpenURL
Calderbank, David M. J.; Kruglikov, Boris Integrability via geometry: dispersionless differential equations in three and four dimensions. (English) Zbl 1464.35006 Commun. Math. Phys. 382, No. 3, 1811-1841 (2021). MSC: 35A30 37K10 35G50 PDF BibTeX XML Cite \textit{D. M. J. Calderbank} and \textit{B. Kruglikov}, Commun. Math. Phys. 382, No. 3, 1811--1841 (2021; Zbl 1464.35006) Full Text: DOI arXiv OpenURL
Schmid, Harald On the deformation of linear Hamiltonian systems. (English) Zbl 1460.35073 J. Math. Anal. Appl. 499, No. 2, Article ID 125051, 33 p. (2021). MSC: 35F20 34L05 PDF BibTeX XML Cite \textit{H. Schmid}, J. Math. Anal. Appl. 499, No. 2, Article ID 125051, 33 p. (2021; Zbl 1460.35073) Full Text: DOI arXiv OpenURL
Zhang, Wei-Guo; Wang, Meng-Yu; Song, Caiqin Soliton solutions of the semi-discrete complex coupled dispersionless integrable system. (English) Zbl 1462.37077 Appl. Math. Lett. 113, Article ID 106859, 8 p. (2021). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 37J70 37K40 37K60 PDF BibTeX XML Cite \textit{W.-G. Zhang} et al., Appl. Math. Lett. 113, Article ID 106859, 8 p. (2021; Zbl 1462.37077) Full Text: DOI OpenURL
Li, Jian; Xia, Tiecheng \(N\)-soliton solutions for the nonlocal Fokas-Lenells equation via RHP. (English) Zbl 1458.35120 Appl. Math. Lett. 113, Article ID 106850, 7 p. (2021). MSC: 35C08 35Q55 35Q15 PDF BibTeX XML Cite \textit{J. Li} and \textit{T. Xia}, Appl. Math. Lett. 113, Article ID 106850, 7 p. (2021; Zbl 1458.35120) Full Text: DOI OpenURL
Yang, Yunqing; Suzuki, Takashi; Wang, Jianyong Bäcklund transformation and localized nonlinear wave solutions of the nonlocal defocusing coupled nonlinear Schrödinger equation. (English) Zbl 1458.35394 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105626, 12 p. (2021). MSC: 35Q55 35Q41 37K35 37K10 35C08 PDF BibTeX XML Cite \textit{Y. Yang} et al., Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105626, 12 p. (2021; Zbl 1458.35394) Full Text: DOI OpenURL
Lü, Xing; Hua, Yan-Fei; Chen, Si-Jia; Tang, Xian-Feng Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws. (English) Zbl 1456.35073 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105612, 14 p. (2021). MSC: 35C08 58J72 37K10 PDF BibTeX XML Cite \textit{X. Lü} et al., Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105612, 14 p. (2021; Zbl 1456.35073) Full Text: DOI OpenURL
Garifullin, R. N.; Yamilov, R. I. On the integrability of lattice equations with two continuum limits. (English. Russian original) Zbl 1456.37082 J. Math. Sci., New York 252, No. 2, 283-289 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 159-164 (2018). MSC: 37K60 39A36 39A12 PDF BibTeX XML Cite \textit{R. N. Garifullin} and \textit{R. I. Yamilov}, J. Math. Sci., New York 252, No. 2, 283--289 (2021; Zbl 1456.37082); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 159--164 (2018) Full Text: DOI arXiv OpenURL
Casati, Matteo; Wang, Jing Ping Recursion and Hamiltonian operators for integrable nonabelian difference equations. (English) Zbl 1461.37074 Nonlinearity 34, No. 1, 205-236 (2021). Reviewer: Ti-Jun Xiao (Fudan) MSC: 37K30 37K10 39A36 37K60 39A12 PDF BibTeX XML Cite \textit{M. Casati} and \textit{J. P. Wang}, Nonlinearity 34, No. 1, 205--236 (2021; Zbl 1461.37074) Full Text: DOI arXiv OpenURL
Fordy, Allan P.; Xenitidis, Pavlos Symmetries of \(\mathbb{Z}_N\) graded discrete integrable systems. (English) Zbl 07642519 J. Phys. A, Math. Theor. 53, No. 23, Article ID 235201, 30 p. (2020). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{A. P. Fordy} and \textit{P. Xenitidis}, J. Phys. A, Math. Theor. 53, No. 23, Article ID 235201, 30 p. (2020; Zbl 07642519) Full Text: DOI OpenURL
Chen, Su-Su; Tian, Bo; Chai, Jun; Wu, Xiao-Yu; Du, Zhong Lax pair, binary Darboux transformations and dark-soliton interaction of a fifth-order defocusing nonlinear Schrödinger equation for the attosecond pulses in the optical fiber communication. (English) Zbl 1498.78032 Waves Random Complex Media 30, No. 3, 389-402 (2020). MSC: 78A60 35Q55 35Q41 37K35 37K40 35C08 PDF BibTeX XML Cite \textit{S.-S. Chen} et al., Waves Random Complex Media 30, No. 3, 389--402 (2020; Zbl 1498.78032) Full Text: DOI OpenURL
Liu, Ping; Wang, Jianghao; Zhang, Huabin; Zhang, Shunli; Chi, Feng An integrable coupled Alice-Bob modified Korteweg de-Vries system: Lax pairs, Bäcklund transformations, residual symmetries and exact solutions. (English) Zbl 1504.35451 Waves Random Complex Media 30, No. 2, 216-240 (2020). MSC: 35Q53 35A30 35Q55 PDF BibTeX XML Cite \textit{P. Liu} et al., Waves Random Complex Media 30, No. 2, 216--240 (2020; Zbl 1504.35451) Full Text: DOI OpenURL
Wen, Lili; Zhang, Ning; Fan, Engui \(N\)-soliton solution of the Kundu-type equation via Riemann-Hilbert approach. (English) Zbl 1499.35566 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 1, 113-126 (2020). MSC: 35Q55 35C08 37K40 PDF BibTeX XML Cite \textit{L. Wen} et al., Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 1, 113--126 (2020; Zbl 1499.35566) Full Text: DOI OpenURL
Kudryashov, Nikolay A. Optical solitons of model with integrable equation for wave packet envelope. (English) Zbl 1496.78015 Chaos Solitons Fractals 141, Article ID 110325, 6 p. (2020). MSC: 78A60 35C08 35Q55 35Q60 PDF BibTeX XML Cite \textit{N. A. Kudryashov}, Chaos Solitons Fractals 141, Article ID 110325, 6 p. (2020; Zbl 1496.78015) Full Text: DOI OpenURL
Ding, Cui-Cui; Gao, Yi-Tian; Deng, Gao-Fu; Wang, Dong Lax pair, conservation laws, Darboux transformation, breathers and rogue waves for the coupled nonautonomous nonlinear Schrödinger system in an inhomogeneous plasma. (English) Zbl 1483.35207 Chaos Solitons Fractals 133, Article ID 109580, 9 p. (2020). MSC: 35Q55 37K10 37K35 PDF BibTeX XML Cite \textit{C.-C. Ding} et al., Chaos Solitons Fractals 133, Article ID 109580, 9 p. (2020; Zbl 1483.35207) Full Text: DOI OpenURL
Gérard, Patrick A nonlinear Fourier transform for the Benjamin-Ono equation on the torus and applications. (English) Zbl 1479.35020 Sémin. Laurent Schwartz, EDP Appl. 2019-2020, Exp. No. 8, 19 p. (2020). MSC: 35A22 35G25 35Q35 PDF BibTeX XML Cite \textit{P. Gérard}, Sémin. Laurent Schwartz, EDP Appl. 2019--2020, Exp. No. 8, 19 p. (2020; Zbl 1479.35020) Full Text: DOI OpenURL
Zhang, Jian-bing; Zhang, Ze-xuan A Riemann-Hilbert approach to the multicomponent Kaup-Newell equation. (English) Zbl 1479.35592 Adv. Math. Phys. 2020, Article ID 8844078, 7 p. (2020). MSC: 35Q15 35Q55 35Q41 35C05 37K15 37K35 PDF BibTeX XML Cite \textit{J.-b. Zhang} and \textit{Z.-x. Zhang}, Adv. Math. Phys. 2020, Article ID 8844078, 7 p. (2020; Zbl 1479.35592) Full Text: DOI OpenURL
Bates, L. M.; Churchill, R. C. A primer on Lax pairs. (English) Zbl 1489.37074 Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 2. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 459, 346-366 (2020). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37J35 37J38 37J39 PDF BibTeX XML Cite \textit{L. M. Bates} and \textit{R. C. Churchill}, Lond. Math. Soc. Lect. Note Ser. 459, 346--366 (2020; Zbl 1489.37074) Full Text: Link OpenURL
Fu, Wei Direct linearization approach to discrete integrable systems associated with \(\mathbb{Z}_\mathcal{N}\) graded Lax pairs. (English) Zbl 1472.37080 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2237, Article ID 20200036, 17 p. (2020). MSC: 37K60 39A99 45A05 PDF BibTeX XML Cite \textit{W. Fu}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2237, Article ID 20200036, 17 p. (2020; Zbl 1472.37080) Full Text: DOI arXiv Link OpenURL
Berjawi, S.; Ferapontov, E. V.; Kruglikov, B.; Novikov, V. Second-order PDEs in four dimensions with half-flat conformal structure. (English) Zbl 1472.35160 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2233, Article ID 20190642, 11 p. (2020). MSC: 35J60 PDF BibTeX XML Cite \textit{S. Berjawi} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2233, Article ID 20190642, 11 p. (2020; Zbl 1472.35160) Full Text: DOI arXiv Link OpenURL
Yesmakhanova, Kuralay; Umurzakhova, Zhanar; Shaikhova, Gaukhar Soliton surface for the \((1+1)\)-dimensional Schrödinger-Maxwell-Bloch equation. (English) Zbl 1478.37075 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 21st international conference on geometry, integrability and quantization, Varna, Bulgaria, June 3–8, 2019. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 21, 320-327 (2020). MSC: 37K25 37K10 37K40 35Q51 PDF BibTeX XML Cite \textit{K. Yesmakhanova} et al., Geom. Integrability Quantization 21, 320--327 (2020; Zbl 1478.37075) Full Text: DOI OpenURL
Gadzhimuradov, T. A.; Agalarov, A. M.; Radha, R.; Tamil Arasan, B. Dynamics of solitons in the fourth-order nonlocal nonlinear Schrödinger equation. (English) Zbl 1459.35343 Nonlinear Dyn. 99, No. 2, 1295-1300 (2020). MSC: 35Q55 37K35 37K40 PDF BibTeX XML Cite \textit{T. A. Gadzhimuradov} et al., Nonlinear Dyn. 99, No. 2, 1295--1300 (2020; Zbl 1459.35343) Full Text: DOI OpenURL
Suresh Kumar, S.; Sahadevan, R. Conservation laws of deformed \(N\)-coupled nonlinear Schrödinger equations and deformed \(N\)-coupled Hirota equations. (English) Zbl 1462.35369 Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 19, 20 p. (2020). MSC: 35Q55 37K10 37K35 PDF BibTeX XML Cite \textit{S. Suresh Kumar} and \textit{R. Sahadevan}, Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 19, 20 p. (2020; Zbl 1462.35369) Full Text: DOI OpenURL
Fei, Jin-Xi; Cao, Wei-Ping; Ma, Zheng-Yi Dark parameterization approach to the Benjamin-Ono equation. (English) Zbl 1451.35161 Int. J. Mod. Phys. B 34, No. 27, Article ID 2050247, 8 p. (2020). MSC: 35Q53 35C07 35A25 PDF BibTeX XML Cite \textit{J.-X. Fei} et al., Int. J. Mod. Phys. B 34, No. 27, Article ID 2050247, 8 p. (2020; Zbl 1451.35161) Full Text: DOI OpenURL
Yan, Zhaowen; Lou, Senyue Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation. (English) Zbl 1462.35328 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105425, 11 p. (2020). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q51 35Q53 37K10 PDF BibTeX XML Cite \textit{Z. Yan} and \textit{S. Lou}, Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105425, 11 p. (2020; Zbl 1462.35328) Full Text: DOI OpenURL
Luo, Jinghua; Fan, Engui \( \overline{\partial} \)-dressing method for the coupled Gerdjikov-Ivanov equation. (English) Zbl 1451.35191 Appl. Math. Lett. 110, Article ID 106589, 10 p. (2020). MSC: 35Q55 37K35 35C08 PDF BibTeX XML Cite \textit{J. Luo} and \textit{E. Fan}, Appl. Math. Lett. 110, Article ID 106589, 10 p. (2020; Zbl 1451.35191) Full Text: DOI OpenURL
Yamazaki, Yohei Stability of the line soliton of the Kadomtsev-Petviashvili-I equation with the critical traveling speed. (English) Zbl 1474.35095 Differ. Integral Equ. 33, No. 9-10, 489-506 (2020). MSC: 35B35 37K40 35Q53 PDF BibTeX XML Cite \textit{Y. Yamazaki}, Differ. Integral Equ. 33, No. 9--10, 489--506 (2020; Zbl 1474.35095) Full Text: arXiv OpenURL
Xu, Jian; Fan, Engui Long-time asymptotic behavior for the complex short pulse equation. (English) Zbl 1447.35066 J. Differ. Equations 269, No. 11, 10322-10349 (2020). MSC: 35B40 35Q15 PDF BibTeX XML Cite \textit{J. Xu} and \textit{E. Fan}, J. Differ. Equations 269, No. 11, 10322--10349 (2020; Zbl 1447.35066) Full Text: DOI arXiv OpenURL
Khasanov, A. B.; Matyakubov, M. M. Integration of the nonlinear Korteweg-de Vries equation with an additional term. (English. Russian original) Zbl 1450.37063 Theor. Math. Phys. 203, No. 2, 596-607 (2020); translation from Teor. Mat. Fiz. 203, No. 2, 192-204 (2020). Reviewer: Rakib Efendiev (Baku) MSC: 37K15 37K10 35Q53 PDF BibTeX XML Cite \textit{A. B. Khasanov} and \textit{M. M. Matyakubov}, Theor. Math. Phys. 203, No. 2, 596--607 (2020; Zbl 1450.37063); translation from Teor. Mat. Fiz. 203, No. 2, 192--204 (2020) Full Text: DOI OpenURL
Xu, Tai-Yang; Tian, Shou-Fu; Peng, Wei-Qi Riemann-Hilbert approach for multisoliton solutions of generalized coupled fourth-order nonlinear Schrödinger equations. (English) Zbl 1445.35111 Math. Methods Appl. Sci. 43, No. 2, 865-880 (2020). MSC: 35C08 35Q51 35Q15 PDF BibTeX XML Cite \textit{T.-Y. Xu} et al., Math. Methods Appl. Sci. 43, No. 2, 865--880 (2020; Zbl 1445.35111) Full Text: DOI OpenURL
Zhang, Dan-Da; van der Kamp, Peter H.; Zhang, Da-Jun Multi-component extension of CAC systems. (English) Zbl 1448.37092 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 060, 30 p. (2020). MSC: 37K60 39A36 PDF BibTeX XML Cite \textit{D.-D. Zhang} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 060, 30 p. (2020; Zbl 1448.37092) Full Text: DOI arXiv OpenURL
Tian, Kai; Liu, Q. P.; Yue, Wen Jun Two super Camassa-Holm equations: reciprocal transformations and applications. (English) Zbl 1448.35457 J. Math. Phys. 61, No. 4, 043503, 12 p. (2020). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{K. Tian} et al., J. Math. Phys. 61, No. 4, 043503, 12 p. (2020; Zbl 1448.35457) Full Text: DOI OpenURL
Alrashdi, Huda; Joshi, Nalini; Tran, Dinh Thi Hierarchies of \(q\)-discrete Painlevé equations. (English) Zbl 1436.33019 J. Nonlinear Math. Phys. 27, No. 3, 453-477 (2020). MSC: 33E17 34M55 37K35 34K17 PDF BibTeX XML Cite \textit{H. Alrashdi} et al., J. Nonlinear Math. Phys. 27, No. 3, 453--477 (2020; Zbl 1436.33019) Full Text: DOI OpenURL
Cheng, Qiaoyuan; Fan, Engui Long-time asymptotics for a mixed nonlinear Schrödinger equation with the Schwartz initial data. (English) Zbl 1442.35414 J. Math. Anal. Appl. 489, No. 2, Article ID 124188, 23 p. (2020). MSC: 35Q55 35Q15 35B40 41A60 PDF BibTeX XML Cite \textit{Q. Cheng} and \textit{E. Fan}, J. Math. Anal. Appl. 489, No. 2, Article ID 124188, 23 p. (2020; Zbl 1442.35414) Full Text: DOI OpenURL
Chen, Meisen; Fan, Engui Long-time asymptotic behavior for the discrete defocusing mKdV equation. (English) Zbl 1434.35152 J. Nonlinear Sci. 30, No. 3, 953-990 (2020). MSC: 35Q53 35B40 35Q15 PDF BibTeX XML Cite \textit{M. Chen} and \textit{E. Fan}, J. Nonlinear Sci. 30, No. 3, 953--990 (2020; Zbl 1434.35152) Full Text: DOI arXiv OpenURL
Ivanov, Rossen; Lyons, Tony; Orr, Nigel Camassa-Holm cuspons, solitons and their interactions via the dressing method. (English) Zbl 1436.37088 J. Nonlinear Sci. 30, No. 1, 225-260 (2020). MSC: 37K40 37K15 35C08 PDF BibTeX XML Cite \textit{R. Ivanov} et al., J. Nonlinear Sci. 30, No. 1, 225--260 (2020; Zbl 1436.37088) 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