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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Soliton Solutions for the Modified KdV6, Modified (2+1)-dimensional Boussinesq, and (3+1)-dimensional KdV Equations

Journal of Applied Nonlinear Dynamics 3(1) (2014) 95--104 | DOI:10.5890/JAND.2014.03.008

Abdul-Majid Wazwaz

Department of Mathematics, Saint Xavier University. Chicago, IL 60655

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Abstract

We study soliton solutions for a modified KdV6 equation, modified Boussinesq equation, and KdV equation in (1+1), (2+1) and (3+1) dimensions respectively. Three distinct new dependent variable trans- formations are combined with the simplified form of Hirota’s direct method is used to achieve these soliton solutions. One soliton solution is formally established for each equation together with its associated dispersion relation and dispersion variable.

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