Analytic solutions of a microstructure PDE and the KdV and Kadomtsev–Petviashvili equations by invariant Painlevé analysis and generalized Hirota techniques-Reference-Cited by-同舟云学术

Analytic solutions of a microstructure PDE and the KdV and Kadomtsev–Petviashvili equations by invariant Painlevé analysis and generalized Hirota techniques

Published:2017-10 Issue: Volume:311 Page:228-239
ISSN:0096-3003
Container-title:Applied Mathematics and Computation
language:en
Short-container-title:Applied Mathematics and Computation

Author:

Russo Matthew^ORCID,Choudhury S. Roy

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference29 articles.

1. The Painlevé property and singularity analysis of integrable and non-integrable systems;Ramani;Phys. Rep.,1989

2. Coupled KdV equations derived from two-layer fluids;Lou;J. Phys. A: Math. Gen.,2006

3. Integrability and equivalence relationships of six integrable coupled Korteweg–de Vries equations;Wang;Math. Methods Appl. Sci.,2016

4. Integrability and exact solutions of a two-component Korteweg–de Vries system;Wang;Appl. Math. Lett.,2016

5. A connection between nonlinear evolution equations and ODEs of P-type: I and II;Ablowitz;J. Math. Phys.,1980

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