## THERMAL SCIENCE

International Scientific Journal

### MULTI-WAVE SOLUTIONS FOR A NON-ISOSPECTRAL KDV-TYPE EQUATION WITH VARIABLE COEFFICIENTS

**ABSTRACT**

As a typical mathematical model in fluids and plasmas, Korteweg-de Vries equation is famous. In this paper, the Exp-function method is extended to a nonisos-pectral Korteweg-de Vries type equation with three variable coefficients, and multi-wave solutions are obtained. It is shown that the Expfunction method combined with appropriate ansatz may provide with a straightforward, effective and alternative method for constructing multi-wave solutions of variable-coefficient non-linear evolution equations.

**KEYWORDS**

PAPER SUBMITTED: 2012-07-10

PAPER REVISED: 2012-08-16

PAPER ACCEPTED: 2012-09-12

**THERMAL SCIENCE** YEAR

**2012**, VOLUME

**16**, ISSUE

**5**, PAGES [1476 - 1479]

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