Asymptotic Travelling Wave Soliton Solutions for Nonlinear Disturbed Generalized NNV Systems

SHI Juan-rong; WU Qin-kuan; MO Jia-qi

doi:10.3879/j.issn.1000-0887.2015.09.011

Volume 36 Issue 9

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SHI Juan-rong, WU Qin-kuan, MO Jia-qi. Asymptotic Travelling Wave Soliton Solutions for Nonlinear Disturbed Generalized NNV Systems[J]. Applied Mathematics and Mechanics, 2015, 36(9): 1003-1010. doi: 10.3879/j.issn.1000-0887.2015.09.011

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Asymptotic Travelling Wave Soliton Solutions for Nonlinear Disturbed Generalized NNV Systems

doi: 10.3879/j.issn.1000-0887.2015.09.011

¹Anhui Technical College of Mechanical and Electrical Engineering,Wuhu, Anhui 241002, P.R.China;²Department of Mathematics & Physics, Nanjing Institute of Technology, Nanjing 211167, P.R.China;³Department of Mathematics, Anhui Normal University,Wuhu, Anhui 241003, P.R.China;⁴Department of Mathematics, Shanghai Jiao Tong University,Shanghai 200240, P.R.China

Funds: The National Natural Science Foundation of China(11202106)

Received Date: 2015-03-05
Rev Recd Date: 2015-06-15
Publish Date: 2015-09-15

Abstract

Abstract

A class of nonlinear disturbed generalized NNV (NizhnikNovikovVeselov) system was addressed with a simple and valid technique. Firstly, the soliton solution to the corresponding typical differential system was obtained by means of the undetermined coefficient method. Secondly, a generalized functional equation was built and variationally calculated, and the corresponding Lagrange multiplier was derived according to the variation principle. Thereby, a special variational iteration relation expression was constructed. Then, the asymptotic travelling wave soliton solution for the original nonlinear disturbed generalized NNV system was attained successively. Finally, through an example, the proposed approximate analysis method is proved to be convenient and effective.
- soliton,
- disturbed Nizhnik-Novikov-Veselov system,
- iterative method

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References(29)

References

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