Solitary wave solutions for nonlinear partial differential equations that contain monomials of odd and even grades with respect to participating derivatives

DOI10.1016/j.amc.2014.08.101zbMath1338.35397arXiv1409.5735OpenAlexW2028476861WikidataQ114211055 ScholiaQ114211055MaRDI QIDQ297702

Nikolay K. Vitanov, Zlatinka I. Dimitrova

Publication date: 17 June 2016

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

Full work available at URL: https://arxiv.org/abs/1409.5735

zbMATH Keywords

nonlinear partial differential equationssolitary wave solutionsmethod of simplest equation

Mathematics Subject Classification ID

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

Related Items (8)

Modified method of simplest equation for obtaining exact solutions of the Zakharov-Kuznetsov equation, the modified Zakharov-Kuznetsov equation, and their generalized forms ⋮ Analytic solutions of nonlinear partial differential equations by the power index method ⋮ Existence of solitary solutions in a class of nonlinear differential equations with polynomial nonlinearity ⋮ Modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations: further development of the methodology with applications ⋮ Direct and inverse relationships between Riccati systems coupled with multiplicative terms ⋮ On solitary wave solutions of a class of nonlinear partial differential equations based on the function \(1/ \cosh^n(\alpha x + \beta t)\) ⋮ Modified method of simplest equation and its applications to the Bogoyavlenskii equation ⋮ The improved F-expansion method and its application to the MEE circular rod equation and the ZKBBM equation

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