Kink solutions for three new fifth order nonlinear equations

DOI10.1016/j.apm.2013.06.009zbMath1427.35246OpenAlexW2066636590MaRDI QIDQ1991309

Abdul-Majid Wazwaz

Publication date: 30 October 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.06.009

zbMATH Keywords

dispersion relationskinkssimplified Hirota's method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

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Cites Work

• Unnamed Item
• Linear superposition principle applying to Hirota bilinear equations
• Wronskian and Grammian solutions to a \((3 + 1)\)-dimensional generalized KP equation
• Symbolic methods to construct exact solutions of nonlinear partial differential equations
• Partial differential equations and solitary waves theory
• Soliton interactions in some semidiscrete integrable systems
• A new fifth-order nonlinear integrable equation: multiple soliton solutions
• A new generalized fifth-order nonlinear integrable equation
• New higher-dimensional fifth-order nonlinear equations with multiple soliton solutions
• A modified KdV-type equation that admits a variety of travelling wave solutions: kinks, solitons, peakons and cuspons

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