# NEW EXACT TRAVELLING WAVE SOLUTIONS OF SOME NONLIN EAR EVOLUTION EQUATIONS BY THE(G'/G)-EXPANSION METHOD

• Lee, You-Ho (Department of Internet Information, Daegu Hanny University) ;
• Lee, Mi-Hye (Department of Mathematics, Sungkyunkwan University) ;
• An, Jae-Young (Department of Mathematics, Sungkyunkwan University)
• Accepted : 2011.05.10
• Published : 2011.06.25
• 79 3

#### Abstract

In this paper, the $(\frac{G'}{G})$-expansion method is used to construct new exact travelling wave solutions of some nonlinear evolution equations. The travelling wave solutions in general form are expressed by the hyperbolic functions, the trigonometric functions and the rational functions, as a result many previously known solitary waves are recovered as special cases. The $(\frac{G'}{G})$-expansion method is direct, concise, and effective, and can be applied to man other nonlinear evolution equations arising in mathematical physics.

#### Keywords

$(\frac{G'}{G})$-expansion method;Homogeneous balance;Travelling wave solutions;Solitary wave solutions;BBM equation;Weak symmetric equation;Mindlin equation;Higgs equations

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