Two types of generalized integrable decompositions and new solitary-wave solutions for the modified Kadomtsev-Petviashvili equation with symbolic computation

DOI10.1063/1.2825247zbMath1153.81450arXiv0707.0647OpenAlexW2077070630MaRDI QIDQ3544586

Ya-Xing Zhang, Juan Li, Hai-Qiang Zhang, Tao Xu, Bo Tian, Qian Feng

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.0647

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (11)

Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics ⋮ Inelastic interactions of the multiple-front waves for the modified Kadomtsev-Petviashvili equation in fluid dynamics, plasma physics and electrodynamics ⋮ Magneto-optical/ferromagnetic-material computation: Bäcklund transformations, bilinear forms and \(N\) solitons for a generalized \((3+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system ⋮ Symbolic computation on the Darboux transformation for a generalized variable-coefficient higher-order nonlinear Schrödinger equation from fiber optics ⋮ Integrable decompositions for the \((2+1)\)-dimensional Gardner equation ⋮ Soliton interaction in the modified Kadomtsev–Petviashvili-(II) equation ⋮ Rational and semi-rational solutions of the modified Kadomtsev-Petviashvili equation and the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation ⋮ Line-solitons, line-shocks, and conservation laws of a universal KP-like equation in 2+1 dimensions ⋮ Certain electromagnetic waves in a ferromagnetic film ⋮ A generalized coupled Korteweg–de Vries hierarchy, bi-Hamiltonian structure, and Darboux transformation ⋮ Magnetooptic studies on a ferromagnetic material via an extended \((3+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system

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