A direct algebraic method to obtain solitary solutions of nonlinear differential-difference equations

Yu Ya-Xuan; Wang Qi; Zhao Xue-Qin; Zhi Hong-Yan; Zhang Hong-Qing

doi:10.7498/aps.54.3992

Abstract
In this letter, we extend a direct method for constructing solitary solutions of nonlinear differential-difference equations.Hybrid lattice equations are chosen to illustrate this method.As a result, several solitary solutions are obtained with the help of Maple.This method can also be used in other nonlinear differential-difference equations.

Keywords:
differential-difference equations /

Hybrid lattice equation /

travelling wave solution /

solitary solution
Authors and contacts
Yu Ya-Xuan¹,

Wang Qi³,

Zhao Xue-Qin²,

Zhi Hong-Yan¹,

Zhang Hong-Qing³

(1)大连理工大学应用数学系，大连 116024; (2)大连理工大学应用数学系，大连 116024;曲阜师范大学数学系，曲阜 273165; (3)大连理工大学应用数学系，大连 116024;中国科学院数学机械化重点实验室，北京 100080
References

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Vol. 54, Issue 9 - 2005-05-05

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A direct algebraic method to obtain solitary solutions of nonlinear differential-difference equations

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A direct algebraic method to obtain solitary solutions of nonlinear differential-difference equations

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