Hirota bilinear equations with linear subspaces of hyperbolic and trigonometric function solutions

DOI10.1016/j.amc.2013.06.019zbMath1331.35082OpenAlexW2121240281MaRDI QIDQ902497

Hong-Chan Zheng, Xiang Gu, Wen-Xiu Ma

Publication date: 18 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.06.019

zbMATH Keywords

\(N\)-soliton solutionssuperposition principles

Mathematics Subject Classification ID

Soliton solutions (35C08)

Related Items (16)

A note on rational solutions to a Hirota-Satsuma-like equation ⋮ Rational solutions to a KdV-like equation ⋮ Mixed lump-kink solutions to the KP equation ⋮ Multiple-wave solutions to generalized bilinear equations in terms of hyperbolic and trigonometric solutions ⋮ Applications of linear superposition principle to resonant solitons and complexitons ⋮ Mixed lump-kink solutions to the BKP equation ⋮ A study on lump solutions to a generalized Hirota-Satsuma-ito equation in \((2+1)\)-dimensions ⋮ Exact rational solutions to a Boussinesq-like equation in (\(1 + 1\))-dimensions ⋮ Resonant behavior of multiple wave solutions to a Hirota bilinear equation ⋮ Rational solutions to two new KP-like equations ⋮ Resonant soliton and complexiton solutions for \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ Multiple wave solutions and auto-Bäcklund transformation for the \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation ⋮ Linear superposition principle of hyperbolic and trigonometric function solutions to generalized bilinear equations ⋮ Rational solutions to an extended Kadomtsev-Petviashvili-like equation with symbolic computation ⋮ Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation ⋮ A SEARCH FOR LUMP SOLUTIONS TO A COMBINED FOURTH-ORDER NONLINEAR PDE IN (2+1)-DIMENSIONS

Cites Work

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• Hirota bilinear equations with linear subspaces of solutions
• Linear superposition principle applying to Hirota bilinear equations
• Nonsingular positon and complexiton solutions for the coupled KdV system
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• Diversity of exact solutions to a restricted Boiti-Leon-Pempinelli dispersive long-wave system
• Complexiton solutions to the Korteweg-de Vries equation
• EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS
• Periodic wave solutions of the Boussinesq equation
• Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik–Novikov–Veselov equation
• Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions

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