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2012•Journal of Nonlinear Mathematical PhysicsOpen access

A Direct procedure on the Integrability of Nonisospectral and Variable-Coefficient MKdV Equation

Xiaorui Hu, Yong Chen

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Abstract

An elementary and systematic method based on binary Bell polynomials is applied to nonisospectral and variable-coefficient MKdV (vcMKdV) equation. The bilinear representation, bilinear Bäcklund transformation, Lax pair and infinite local conservation laws are obtained step by step, without too much clever guesswork.

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An elementary and systematic method based on binary Bell polynomials is applied to nonisospectral and variable-coefficient MKdV (vcMKdV) equation. The bilinear representation, bilinear Bäcklund transformation, Lax pair and infinite local conservation laws are obtained step by step, without too much clever guesswork.

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Available abstract

An elementary and systematic method based on binary Bell polynomials is applied to nonisospectral and variable-coefficient MKdV (vcMKdV) equation. The bilinear representation, bilinear Bäcklund transformation, Lax pair and infinite local conservation laws are obtained step by step, without too much clever guesswork.

Key concepts: Variable coefficient, Mathematics, Bell polynomials, Bilinear interpolation, Conservation law, Transformation (genetics), Variable (mathematics), Lax pair

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