Resonant multi-soliton solutions to new \((3+1)\)-dimensional Jimbo-Miwa equations by applying the linear superposition principle

DOI10.1007/s11071-019-04799-9zbMath1437.37093OpenAlexW2914697583WikidataQ128451395 ScholiaQ128451395MaRDI QIDQ783486

Behzad Ghanbari, Chun-Ku Kuo

Publication date: 4 August 2020

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-019-04799-9

zbMATH Keywords

dispersion relationsmulti-solitonHirota bilinear equationlinear superposition principlenew \((3+1)\)-dimensional Jimbo-Miwa equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

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Cites Work

• Unnamed Item
• Multiple kink solutions for two coupled integrable (2+1)-dimensional systems
• Exact propagating multi-anti-kink soliton solutions of a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation
• Multiple-soliton solutions for extended \((3 + 1)\)-dimensional Jimbo-Miwa equations
• Hirota bilinear equations with linear subspaces of solutions
• Linear superposition principle applying to Hirota bilinear equations
• Partial differential equations and solitary waves theory
• On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions
• Two B-type Kadomtsev-Petviashvili equations of \((2+1)\) and \((3+1)\) dimensions: multiple soliton solutions, rational solutions and periodic solutions
• Multiple-soliton solutions for the Calogero-Bogoyavlenskii-Schiff, Jimbo-Miwa and YTSF equations
• Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
• A multiple exp-function method for nonlinear differential equations and its application
• Multi-soliton solutions of the BBM equation arisen in shallow water
• New Multi-soliton Solutions for the (2+1)-Dimensional Kadomtsev–Petviashvili Equation

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