Jacobi elliptic function solutions for a two-mode KdV equation

By Marwan Alquran, Ameen Jarrah. Journal of King Saud University: Science, 2017

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Abstract In this paper we introduce a new type of KdV equations called Two-mode KdV (TMKdV). This equation represents the propagation of two-wave modes in the same direction simultaneously. We suggest a finite series of degree n in terms of a Jacobi elliptic functions as a possible solution for the TMKdV. We succeeded in obtaining new solutions of type solitons and periodics.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6c19bda4b4b7cb17300d0704b4da1650446c1729