Analytic solutions of the (2 + 1)-dimensional nonlinear evolution equations using the sine-cosine method
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Publication:1047890
DOI10.1016/J.AMC.2009.09.027zbMath1180.35154OpenAlexW1996942268MaRDI QIDQ1047890
Publication date: 8 January 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.09.027
Periodic solutions to PDEs (35B10) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07) Soliton solutions (35C08)
Related Items (15)
New solutions for the unstable nonlinear Schrödinger equation arising in natural science ⋮ Bifurcations of travelling wave solutions for the generalized \((2+1)\)-dimensional Boussinesq-Kadomtsev-Petviashvili equation ⋮ Integrability of a (2+1)-dimensional generalized breaking soliton equation ⋮ Application of conservation theorem and modified extended tanh-function method to (1+1)-dimensional nonlinear coupled Klein-Gordon-Zakharov equation ⋮ Exact explicit traveling wave solution for the generalized \((2+1)\)-dimensional Boussinesq equation ⋮ \(N\)-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water ⋮ The extended hyperbolic function method for generalized forms of nonlinear heat conduction and Huxley equations ⋮ Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved \((G'/G)\)-expansion method ⋮ Solutions of the generalized KdV equation with time-dependent damping and dispersion ⋮ Traveling wave solutions for fifth-order KdV type equations with time-dependent coefficients ⋮ Lie symmetry reductions and dynamics of solitary wave solutions of breaking soliton equation ⋮ Characteristics of integrability, bidirectional solitons and localized solutions for a (\(3+1\))-dimensional generalized breaking soliton equation ⋮ Exact solutions of the generalized (2+1)-dimensional BKP equation by the \(G'/G\)-expansion method and the first integral method ⋮ BRIGHT AND DARK SOLITON SOLUTIONS OF THE (2 + 1)-DIMENSIONAL EVOLUTION EQUATIONS ⋮ Darboux covariant Lax pairs and infinite conservation laws of the (2+1)-dimensional breaking soliton equation
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