Exact solutions of some nonlinear partial differential equations

Ibrahim E. Inan and Dogan Kaya

Physica A: Statistical Mechanics and its Applications, 2007, vol. 381, issue C, 104-115

Abstract: We implemented a generalized tanh function method for approximating the solution of the combined Korteweg–de Vries (CKdV) equation and Sharma–Tasso–Olver equation. By using this scheme, we found some exact solutions of the CKdV equation and Sharma–Tasso–Olver equation. For the further investigation of the method, some exact solutions of the Boussinesq equation and the complexly coupled KdV equations have been obtained.

Keywords: The CKdV-equation; Sharma–Tasso–Olver equation; Generalized tanh function method; The boussinesq equation; Complexly-coupled KdV equations; Traveling wave solutions (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:381:y:2007:i:c:p:104-115

DOI: 10.1016/j.physa.2007.04.011

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