On the nonlocal Boussinesq equation: multiple-soliton solutions

DOI10.1016/j.aml.2013.06.008zbMath1308.35257OpenAlexW2047319238MaRDI QIDQ2339285

Abdul-Majid Wazwaz

Publication date: 31 March 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2013.06.008

zbMATH Keywords

completely integrablemultiple-soliton solutionssimplified Hirota methodnonlocal Boussinesq equation

Mathematics Subject Classification ID

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

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Cites Work

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• Partial differential equations and solitary waves theory
• Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method
• A Higher-Order Water-Wave Equation and the Method for Solving It
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
• A search for bilinear equations passing Hirota’s three-soliton condition. II. mKdV-type bilinear equations
• On modified NLS, Kaup and NLBq equations: differential transformations and bilinearization
• On a direct bilinearization method: Kaup's higher-order water wave equation as a modified nonlocal Boussinesq equation
• Two forms of (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation: multiple soliton solutions
• (2 + 1)-dimensional Korteweg–de Vries (N) equations derived by using the Korteweg–de Vries recursion operator

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