New superposed elliptic solutions for a class of nonlinear evolution equations

2014/03/31 by Bijan Bagchi, Bagchi, Bijan, Supratim Das +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math-ph #math.MP #nlin.SI #quant-ph

paper · pdf · doi:10.48550/arxiv.1403.7994

This paper has been withdrawn by the author due to some errors

arxiv created 2014/07/21 · arxiv updated 2014/07/22

Abstract

In the context of the emergence of new classes of superposed solutions such as dn2 (x,m) ± √ m cn(x,m) dn(x,m) for a variety of nonlinear equations we present some additional new ones for the KdV and QNLS equations and show that they also admit exact solutions of the type nd2 (x,m) ± √ sd(x,m) nd(x,m). We also determine different types of superposed solutions for a generalized shallow water wave equation.

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