Exp-function method for Riccati equation and new exact solutions with two arbitrary functions of \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equations
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Publication:972929
DOI10.1016/j.amc.2010.03.005zbMath1189.35299OpenAlexW2163125757MaRDI QIDQ972929
Publication date: 21 May 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.005
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24)
Related Items (9)
On group-invariant solutions of Konopelchenko-Dubrovsky equation by using Lie symmetry approach ⋮ Solitons for the (2+1)-dimensional Konopelchenko-Dubrovsky equations ⋮ An improvement on the exp-function method when balancing the highest order linear and nonlinear terms ⋮ Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics ⋮ The Jacobi elliptic equation method for solving fractional partial differential equations ⋮ Modified method of simplest equation and its applications to the Bogoyavlenskii equation ⋮ Similarity solutions of the Konopelchenko-Dubrovsky system using Lie group theory ⋮ Soliton solutions of KD system using similarity transformations method ⋮ Solutions of fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov-Veselov equations using a generalized fractional subequation method
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