Symmetry reduction and exact solutions of a generalized 
fourth-order dispersive equation

Abstract

Abstract: By applying the direct symmetry method to a generalized fourth-order dispersive equation, we obtain the symmetry reductions, group invariant solutions of this equation, which include hyperbolic function solutions, trigonometric function solutions and soliton solution. At last, we give the conservation laws of this equation.

Key words: nonlinear equation, soliton solution, Lie point symmetry groups, symmetry reduction, conservation laws

CLC Number:

O175.2

Wang Zhen-li, Liu Xi-qiang. Symmetry reduction and exact solutions of a generalized fourth-order dispersive equation [J]. J4, 2014, 31(3): 264-272.

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Symmetry reduction and exact solutions of a generalized fourth-order dispersive equation

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