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A DIRECT PROCEDURE ON THE INTEGRABILITYOF NONISOSPECTRAL AND VARIABLE-COEFFICIENTMKdV EQUATION

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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 Backlund transformation, Lax pair and infinite local conservation laws are obtained step by step, without too much clever guesswork.

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