Bell Polynomial Approach and Wronskian Technique to Good Boussinesq Equation

2023/05/11 by Dai, Xiaotian, Qin, Zhenyun
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2305.06853

Abstract

The elementary and systematic binary Bell polynomial approach is applied to the good Boussinesq equation. The bilinear representation, n-soliton solutions, bilinear Bäcklund transformation, Lax pair and infinite conservation laws of the good Boussinesq equation are obtained directly. In addition, from the reduction conditions of the obtained Lax pairs, the n order Wronskian determinant solution of the equation is also constructed.

Related

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• Binary Bell polynomials approach to the integrability of nonisospectral and variable-coefficient nonlinear equations
• Line-soliton and rational solutions to (2+1)-dimensional Boussinesq equation by Dbar-problem
• Miura transformation for the "good'' Boussinesq equation
• Numerical scheme for the solution of the "bad" Boussinesq equation