A New Class of Solutions of Combined KdV-mKdV Equation

2014/11/26 by Sumanta Bandyopadhyay, Bandyopadhyay, Sumanta
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1411.7077

openalex publication_date 2014/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, the exact solutions for combined KdV-mKdV generalized equation as a linear superposition of Jacobi elliptic functions, c_n(ξ,m), d_n(ξ,m). When m is set to one, the solution matches with well-known hyperbolic solutions of generalized combined KdV-mKdV equation. Similar solution is also derived for the case for time dependent co-efficient. In the latter case the velocity term become time dependent.

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