Exact Solutions of Gardner Equations through tanh-coth Method

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2016Publisher:Scientific Research Publishing, Inc.Journal:Applied Mathematics, volume 7, pages 2,374-2,381 (issn: 2152-7385, eissn: 2152-7393,

Copyright policy )

Authors: Lin Lin; Shiyong Zhu; Yinkang Xu; Yubing Shi;

doi: 10.4236/am.2016.718186

Exact Solutions of Gardner Equations through tanh-coth Method

- Summary
- Metrics

Abstract

In this paper, we apply the tanh-coth method and traveling wave transformation method for solving Gardner equations, including (1 + 1)-Gardner and (2 + 1)- Gardner equations. The tanh-coth method proved to be reliable and effective in handling a large number of nonlinear dispersive and disperse equations. Through tanh-coth method, we get analytical expressions of soliton solutions of Gardner equations. The one-soliton solution is characterized by an infinite wing or infinite tail.

Related Organizations

Zhejiang Normal University
China (People's Republic of)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	19
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average