Mixed lump-kink solutions to the BKP equation
暂无分享,去创建一个
[1] Xiang Gu,et al. Hirota bilinear equations with linear subspaces of hyperbolic and trigonometric function solutions , 2013, Appl. Math. Comput..
[2] Khaled A. Gepreel,et al. Exact solutions for nonlinear integral member of Kadomtsev-Petviashvili hierarchy differential equations using the modified (w/g)- expansion method , 2016, Comput. Math. Appl..
[3] Athanassios S. Fokas,et al. Important developments in soliton theory , 1993 .
[4] John D. Gibbon,et al. A new hierarchy of Korteweg–de Vries equations , 1976, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[5] J. Satsuma,et al. Two‐dimensional lumps in nonlinear dispersive systems , 1979 .
[6] Wenxiu Ma,et al. A multiple exp-function method for nonlinear differential equations and its application , 2010, 1010.3324.
[7] Barbara Abraham-Shrauner,et al. New origins of hidden symmetries for partial differential equations , 2009 .
[8] P. Caudrey,et al. The inverse problem for the third order equation uxxx + q(x)ux + r(x)u = −iζ3u , 1980 .
[9] Jian-Ping Yu,et al. Study of lump solutions to dimensionally reduced generalized KP equations , 2017 .
[10] Alfred Ramani,et al. Are all the equations of the Kadomtsev–Petviashvili hierarchy integrable? , 1986 .
[11] Wenxiu Ma,et al. A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo–Miwa equation , 2009, 0903.5337.
[12] Sha-Sha Yuan,et al. Generalized Darboux transformation and rogue wave solution of the coherently-coupled nonlinear Schrödinger system , 2016 .
[13] M. Jimbo,et al. Solitons and Infinite Dimensional Lie Algebras , 1983 .
[14] S. Sawada,et al. A Method for Finding N-Soliton Solutions of the KdV and KdV-Like Equation , 1974 .
[15] Yi Zhang,et al. Rational solutions to a KdV-like equation , 2015, Appl. Math. Comput..
[16] Ljudmila A. Bordag,et al. Two-dimensional solitons of the Kadomtsev-Petviashvili equation and their interaction , 1977 .
[17] Wenxiu Ma,et al. Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions , 2004, nlin/0503001.
[18] Wen-Xiu Ma,et al. Linear superposition principle of hyperbolic and trigonometric function solutions to generalized bilinear equations , 2016, Comput. Math. Appl..
[19] Huanhe Dong,et al. The new integrable symplectic map and the symmetry of integrable nonlinear lattice equation , 2016, Commun. Nonlinear Sci. Numer. Simul..
[20] Min Chen,et al. Direct search for exact solutions to the nonlinear Schrödinger equation , 2009, Appl. Math. Comput..
[21] Yi Zhang,et al. Soliton solution to BKP equation in Wronskian form , 2013, Appl. Math. Comput..
[22] Zhenyun Qin,et al. Lump solutions to dimensionally reduced $$\varvec{p}$$p-gKP and $$\varvec{p}$$p-gBKP equations , 2016 .
[23] Shou-Ting Chen,et al. Generalized double Casoratian solutions to the four-potential isospectral Ablowitz-Ladik equation , 2013, Commun. Nonlinear Sci. Numer. Simul..
[24] David J. Kaup,et al. On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψxxx + 6Qψx + 6Rψ = λψ , 1980 .
[25] P. Caudrey,et al. Memories of Hirota’s method: application to the reduced Maxwell–Bloch system in the early 1970s† , 2011, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[26] Qiu-Lan Zhao,et al. Two integrable lattice hierarchies and their respective Darboux transformations , 2013, Appl. Math. Comput..
[27] Abdul-Majid Wazwaz,et al. New (3$$\varvec{+}$$+1)-dimensional equations of Burgers type and Sharma–Tasso–Olver type: multiple-soliton solutions , 2017 .
[28] Huanhe Dong,et al. Rational solutions and lump solutions to the generalized (3+1)-dimensional Shallow Water-like equation , 2017, Comput. Math. Appl..
[29] C. S. Gardner,et al. Method for solving the Korteweg-deVries equation , 1967 .
[30] 広田 良吾,et al. The direct method in soliton theory , 2004 .
[31] Pierre Gaillard,et al. Fredholm and Wronskian representations of solutions to the KPI equation and multi-rogue waves , 2016 .
[32] Masaki Kashiwara,et al. KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI– , 1981 .
[33] R. Hirota. Exact solution of the Korteweg-deVries equation for multiple collision of solitons , 1971 .
[34] Ryogo Hirota,et al. A New Form of Bäcklund Transformations and Its Relation to the Inverse Scattering Problem , 1974 .
[35] Wenxiu Ma,et al. Bilinear Equations and Resonant Solutions Characterized by Bell Polynomials , 2013 .
[36] Xin-Yue Li,et al. A Bargmann system and the involutive solutions associated with a new 4-order lattice hierarchy , 2016 .
[37] Wen-Xiu Ma,et al. Computers and Mathematics with Applications Linear Superposition Principle Applying to Hirota Bilinear Equations , 2022 .
[38] Kenji Imai,et al. DROMION AND LUMP SOLUTIONS OF THE ISHIMORI-I EQUATION , 1997 .
[39] J. Nimmo,et al. On the combinatorics of the Hirota D-operators , 1996, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[40] Jingyuan Yang,et al. Lump solutions to the BKP equation by symbolic computation , 2016 .
[41] Jian-Ping Yu,et al. Lump solutions to dimensionally reduced Kadomtsev–Petviashvili-like equations , 2017 .
[42] Wen-Xiu Ma,et al. Lump-type solutions to nonlinear differential equations derived from generalized bilinear equations , 2016 .
[43] J. Nimmo,et al. Lump solutions of the BKP equation , 1990 .
[44] Boris Konopelchenko,et al. The AKNS hierarchy as symmetry constraint of the KP hierarchy , 1991 .
[45] Wenxiu Ma,et al. Trilinear equations, Bell polynomials, and resonant solutions , 2013 .
[46] Wenxiu Ma,et al. Lump solutions to the Kadomtsev–Petviashvili equation , 2015 .
[47] Wen-Xiu Ma,et al. Lump solutions to the ($$\mathbf 2+1 $$2+1)-dimensional Sawada–Kotera equation , 2017 .
[48] P. Clarkson,et al. Solitons, Nonlinear Evolution Equations and Inverse Scattering: References , 1991 .
[49] Margaret Nichols. Trans , 2015, De-centering queer theory.
[50] Wenxiu Ma,et al. Rational solutions of the Toda lattice equation in Casoratian form , 2004 .
[51] J. Nimmo,et al. Soliton solutions of the Korteweg-de Vries and Kadomtsev-Petviashvili equations: The wronskian technique , 1983 .
[52] Andrew G. Glen,et al. APPL , 2001 .
[53] S. Novikov,et al. Theory of Solitons: The Inverse Scattering Method , 1984 .
[54] Wenxiu Ma,et al. Bilinear equations, Bell polynomials and linear superposition principle , 2013 .
[55] David J. Kaup,et al. The lump solutions and the Bäcklund transformation for the three‐dimensional three‐wave resonant interaction , 1981 .
[56] Xi-Xiang Xu,et al. A deformed reduced semi-discrete Kaup-Newell equation, the related integrable family and Darboux transformation , 2015, Appl. Math. Comput..
[57] Zhenhui Xu,et al. Rogue wave for the (2+1)-dimensional Kadomtsev-Petviashvili equation , 2014, Appl. Math. Lett..