2016•Communications in Theoretical PhysicsOpen access

Darboux Transformation for a Four-Component KdV Equation*

Nian-Hua Li, Lihua Wu

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Abstract

Abstract With the aid of a gauge transformation, we propose a Darboux transformation for a four-component KdV equation. As an application, we obtain some explicit solutions for the four-component KdV equation.

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Abstract With the aid of a gauge transformation, we propose a Darboux transformation for a four-component KdV equation. As an application, we obtain some explicit solutions for the four-component KdV equation.

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Available abstract

Abstract With the aid of a gauge transformation, we propose a Darboux transformation for a four-component KdV equation. As an application, we obtain some explicit solutions for the four-component KdV equation.

Key concepts: Korteweg–de Vries equation, Transformation (genetics), Component (thermodynamics), Darboux integral, Gauge (firearms), Gauge theory, Applied mathematics, Algebra over a field

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