2009•Unpublished venueRequires access

Riccati Equation Expansion Method for Solving KdV-Burgers Equation

Yang Feng, Hongqing Zhang

Abstract

Riccati equation expansion method is presented for constructing exact travelling wave solutions of nonlinear evolution equations. The main idea of this method is to take full advan- tage of the more solutions of Riccati equation to construct exact travelling wave solutions of nonlinear evolution equations. More new exact travelling wave solutions are obtained for KdV- Burgers equation.

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Available abstract

Key concepts: Riccati equation, Burgers' equation, Mathematics, Algebraic Riccati equation, Korteweg–de Vries equation, Nonlinear system, Traveling wave, Mathematical analysis