Application of Binary Bell polynomial approach to a (2+1) dimensional nonlinear evolution equation

2014/07/03 by Ömer Ünsal, Ömer Faruk Ünsal, Ünsal, Ömer +5
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Fractional Differential Equations Solutions #Nonlinear Waves and Solitons #Numerical methods for differential equations #math.AP #nlin.SI

paper · pdf · doi:10.48550/arxiv.1407.0804

The paper has been withdrawn due to the crucial error in soliton solutions

openalex publication_date 2014/07/03 · arxiv created 2014/09/23 · arxiv updated 2014/09/24 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

In this paper, we apply the binary Bell polynomial approach to a (2+1) dimensional nonlinear evolution equation. Namely, this study is an integrability work. Bilinear formalism, bilinear Backlund transformation, Lax pair of referred equation are obtained in the light of this work. Moreover, infinite conservation laws are also presented. This approach can also be applied to other nonlinear partial differential equations.

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