Some exact and new solutions of the Nizhnik-Novikov-Vesselov equation using the Exp-function method

DOI10.1016/j.camwa.2009.03.006zbMath1189.35291OpenAlexW2052419497MaRDI QIDQ979724

J. Martínez

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.03.006

zbMATH Keywords

traveling wave solutionExp-function methodNizhnik-Novikov-Vesselov equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07)

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Cites Work

• Numerical and explicit solutions of the fifth-order Korteweg-de Vries equations
• Application of Exp-function method for nonlinear evolution equations with variable coefficients
• The repeated homogeneous balance method and its applications to nonlinear partial differential equations
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• The numerical simulation for stiff systems of ordinary differential equations
• Exp-function method for nonlinear wave equations
• Exp-function method and its application to nonlinear equations
• New solitary wave and periodic solutions of the foam drainage equation using the exp-function method
• Algebro-geometric solutions of the Harry Dym equation
• Homotopy perturbation method for bifurcation of nonlinear problems
• Applications of the Jacobi elliptic function method to special-type nonlinear equations
• Discretizing constant curvature surfaces via loop group factorizations: The discrete sine- and sinh-Gordon equations
• The \(\tan h\) method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations
• Application of homotopy perturbation method to nonlinear wave equations
• Construction of solitary solution and compacton-like solution by variational iteration method
• New periodic solutions for nonlinear evolution equations using Exp-function method
• Wave Propagation in Nonlinear Lattice. I
• The inverse scattering transform: Semi-infinite interval
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
• AUTO-BÄCKLUND TRANSFORMATION AND NEW EXACT SOLUTIONS OF THE (2 + 1)-DIMENSIONAL NIZHNIK–NOVIKOV–VESELOV EQUATION