New exact solitary wave solutions for nonlinear wave equation with fifth-order strong nonlinear term constructed by hyperbolic function type of auxiliary equation

Taogetusang; Sirendaoerji

doi:10.7498/aps.55.13

Abstract
Based on the method of auxiliary equation,the paper uses two auxiliary equations with function-transformation and one auxiliary equation of hyperbolic function type to construct an important model in mechanics,which has solutions of new trigonometric function type of wave equation with fifth-order strong nonlinear term and the exact solitary wave solutions of hyperbolic function type, obtained via the symbolic calculation system of Mathematica.The method has general meanings in searching for other new exact solutions to the nonlinear evolution equation with fifth-order strong nonlinear term.

Keywords:
hyperbolic function type of auxiliary equation /

function-transformation /

wave equation with fifth-order strong nonlinear term /

exact solitary wave solutions
Authors and contacts
Taogetusang,

Sirendaoerji

1.
内蒙古师范大学数学科学学院，呼和浩特 010022
References

Cited By

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Vol. 55, Issue 1 - 2006-01-05

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New exact solitary wave solutions for nonlinear wave equation with fifth-order strong nonlinear term constructed by hyperbolic function type of auxiliary equation

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New exact solitary wave solutions for nonlinear wave equation with fifth-order strong nonlinear term constructed by hyperbolic function type of auxiliary equation

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