2012•Communications in Theoretical PhysicsRequires access

The Quasi-Periodic Solutions for the Variable-Coefficient KdV Equation

Feng-Jiao Ouyang, Shu-fang Deng

Abstract

Hirota method is used to directly construct quasi-periodic wave solutions for the nonisospectral soliton equation. One and two quasi-periodic wave solutions for the variable-coefficient KdV equation are studied. The well known one-soliton solution can be reduced from the one quasi-periodic wave solution.

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Key concepts: Korteweg–de Vries equation, Variable coefficient, Soliton, Variable (mathematics), Physics, Periodic wave, Mathematical analysis, Mathematical physics