New maximal dimension of invariant subspaces to coupled systems with two-component equations

DOI10.1016/j.cnsns.2013.03.019zbMath1333.35241OpenAlexW2065962860MaRDI QIDQ907156

Jun Zhang, Yongyang Jin, JunQuan Song, Shou-feng Shen

Publication date: 25 January 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.03.019

zbMATH Keywords

invariant subspacecoupled systemestimation of maximal dimension

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)

Related Items (9)

Conditional Lie-Bäcklund symmetry reductions and exact solutions of a class of reaction-diffusion equations ⋮ Invariant subspace classification and exact solutions to the generalized nonlinear D-C equation ⋮ On Lie symmetry analysis and invariant subspace methods of coupled time fractional partial differential equations ⋮ Invariant Subspace and Exact Solutions to the Generalized Kudryashov-Sinelshchikov Equation ⋮ Invariant subspace method and exact solutions of the coupled system of time-fractional convection-reaction-diffusion equations ⋮ Propagation of nonlinear thermoelastic waves in porous media within the theory of heat conduction with memory: physical derivation and exact solutions ⋮ Exact solutions and maximal dimension of invariant subspaces of time fractional coupled nonlinear partial differential equations ⋮ A class of third-order nonlinear evolution equations admitting invariant subspaces and associated reductions ⋮ Invariant subspaces and exact solutions for a system of fractional PDEs in higher dimensions

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