Da‐jun Zhang
Abstract
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By a transformation between a Painlevé integrable variable coefficient KdV equation and the standard KdV equation, we derive the Lax pair and infinitely many conservation laws of the variable coefficient KdV equation from the counterparts of the KdV equation.
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By a transformation between a Painlevé integrable variable coefficient KdV equation and the standard KdV equation, we derive the Lax pair and infinitely many conservation laws of the variable coefficient KdV equation from the counterparts of the KdV equation.
Key concepts: Korteweg–de Vries equation, Variable coefficient, Lax pair, Conservation law, Transformation (genetics), Integrable system, Variable (mathematics), Dispersionless equation