EXPLICIT EXACT SOLUTIONS FOR NONLINEAR APPROXIMATE EQUATIONS WITH LONG WAVES IN SHALLOW WATER

YAN ZHEN-YA; ZHANG HONG-QING

doi:10.7498/aps.48.1962

Abstract
In this paper,the nonlinear approximate equations for long wave in shallow water are studied via using two different methods.Firstly,with the aid of Mathematica and Wu-elimination method,by using sine-cosine method,three families of soliton solutions are obtained.Secondly,based on the known references,through using a new transformation,several rational formal solutions are found again.The two methods can be also applied to other nonlinear equations.
Authors and contacts
YAN ZHEN-YA,

ZHANG HONG-QING

1.
大连理工大学数学科学研究所，大连 116024
References

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Vol. 48, Issue 11 - 1999-06-05

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EXPLICIT EXACT SOLUTIONS FOR NONLINEAR APPROXIMATE EQUATIONS WITH LONG WAVES IN SHALLOW WATER

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EXPLICIT EXACT SOLUTIONS FOR NONLINEAR APPROXIMATE EQUATIONS WITH LONG WAVES IN SHALLOW WATER

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