Symmetries and Integrability of Modified Camassa-Holm Equation with an\n Arbitrary Parameter

2019/11/13 by A Durga Devi, K. Krishnakumar, Devi, A Durga +5
Mathematics · Physics and Astronomy · #47E05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1911.05713

openalex publication_date 2019/11/13 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We study the symmetry and integrability of a modified Camassa-Holm Equation\n(MCH), with an arbitrary parameter k, of the formν_t+k(u-u_xx)²u_x-u_xxt+(u²-u_x²)(u_x-u_xxx)=0. By\nusing Lie point symmetries we reduce the order of the above equation and also\nwe obtain interesting novel solutions for the reduced ordinary differential\nequations. Finally we apply the Painlev 'e Test to the resultant nonlinear\nordinary differential equation.\n

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