Trial equation method based on symmetry and applications to nonlinear equations arising in mathematical physics
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Publication:537932
DOI10.1007/s10701-010-9521-4zbMath1215.35142OpenAlexW2018520116MaRDI QIDQ537932
Publication date: 23 May 2011
Published in: Foundations of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10701-010-9521-4
KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Methods of ordinary differential equations applied to PDEs (35A24) Symmetries, invariants, etc. in context of PDEs (35B06) Polynomial solutions to PDEs (35C11)
Related Items (8)
Qualitative and quantitative analysis of nonlinear dynamics by the complete discrimination system for polynomial method ⋮ Classification of traveling wave solutions to the modified form of the Degasperis-Procesi equation ⋮ Two model equations with a second degree logarithmic nonlinearity and their Gaussian solutions ⋮ Generalized trial equation method and its applications toDuffing and Poisson--Boltzmann equations ⋮ The classification of the single traveling wave solutions to \((1+1)\) dimensional Gardner equation with variable coefficients ⋮ The construction of solutions to Zakharov-Kuznetsov equation with fractional power nonlinear terms ⋮ Generalized system of trial equation methods and their applications to biological systems ⋮ Exact dynamical behavior for a dual Kaup-Boussinesq system by symmetry reduction and coupled trial equations method
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