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The integrability of the coupled Ramani equation with binary Bell polynomials

Xue-Dong Chai

https://orcid.org/0000-0001-9638-9644

School of Mathematical Sciences, Capital Normal University, Beijing 100048, P. R. China

E-mail Address: chaixuedong8@163.com

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and

Chun-Xia Li

School of Mathematical Sciences, Capital Normal University, Beijing 100048, P. R. China

E-mail Address: trisha_li2001@163.com

Corresponding author.

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https://doi.org/10.1142/S0217984920503716Cited by:2 (Source: Crossref)

Abstract

Binary Bell polynomial approach is applied to study the coupled Ramani equation, which is the generalization of the Ramani equation. Based on the concept of scale invariance, the coupled Ramani equation is written in terms of binary Bell polynomials of two dimensionless field variables, which leads to the bilinear coupled Ramani equation directly. As a consequence, the bilinear Bäcklund transformation, Lax pair and conservation laws are systematically constructed by virtue of binary Bell polynomials.

Keywords:

PACS: 05.45.Yv, 02.30.Gp, 02.30.Ik

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