Soliton Travelling Wave Solutions to a Class of Nonlinear Nonlocal Disturbed LGH Equations

FENG Yi-hu; MO Jia-qi

doi:10.3879/j.issn.1000-0887.2016.04.010

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FENG Yi-hu, MO Jia-qi. Soliton Travelling Wave Solutions to a Class of Nonlinear Nonlocal Disturbed LGH Equations[J]. Applied Mathematics and Mechanics, 2016, 37(4): 426-433. doi: 10.3879/j.issn.1000-0887.2016.04.010

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Soliton Travelling Wave Solutions to a Class of Nonlinear Nonlocal Disturbed LGH Equations

doi: 10.3879/j.issn.1000-0887.2016.04.010

FENG Yi-hu^1,2,
MO Jia-qi²

¹Department of Electronics and Information Engineering,Bozhou College, Bozhou, Anhui 236800, P.R.China;²School of Mathematics & Computer Science, Anhui Normal University, Wuhu, Anhui 241000, P.R.China

Funds: The National Natural Science Foundation of China(40676016)

Received Date: 2015-08-12
Rev Recd Date: 2015-10-16
Publish Date: 2016-04-15

Abstract

Abstract

A class of nonlinear nonlocal Landau-Ginzburg-Higgs (LGH) differential equations were discussed with the modified functional analytic variational iteration method. Firstly, a set of travelling wave transforms were constructed and the functional was introduced, of which the variation was determined and then was made equal to 0 to obtain the conditions for and solution of the Lagrange operator. Secondly, a modified variational iteration expression was employed and the soliton solutions to the corresponding non-disturbed LGH equations were selected as the initial iteration functions. Finally, all the asymptotic solutions and the exact solutions to the nonlinear nonlocal disturbed LGH equations were obtained, successively. From an example, the proposed modified functional analytic variational iteration method is proved valid and practicable.
- travelling wave,
- nonlinear,
- nonlocal

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References(31)

References

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