Articles

SOLITARY WAVE AND PERIODIC WAVE SOLUTIONS FOR THE NON-NEWTONIAN FILTRATION EQUATIONS WITH NONLINEAR SOURCES AND A TIME-VARYING DELAY

  • Fanchao KONG ,
  • Zhiguo LUO
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  • Key Laboratory of High Performance Computing and Stochastic Information Processing(HPCSIP)(Ministry of Education of China), College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China

Received date: 2016-06-07

  Revised date: 2016-10-30

  Online published: 2017-12-25

Supported by

The research was supported by the National Natural Science Foundation of China (11471109), the Construct Program of the Key Discipline in Hunan Province and Hunan Provincial Innovation Foundation for Postgraduate (CX2017B172).

Abstract

This paper is concerned with the non-Newtonian filtration equations with nonlinear sources and a time-varying delay. By an extension of Mawhin's continuation theorem and some analysis methods, several sufficient conditions ensuring the existence of solitary wave and periodic wave solutions are obtained. Some corresponding results in the literature are improved and extended. An example is given to illustrate the effectiveness of our results.

Cite this article

Fanchao KONG , Zhiguo LUO . SOLITARY WAVE AND PERIODIC WAVE SOLUTIONS FOR THE NON-NEWTONIAN FILTRATION EQUATIONS WITH NONLINEAR SOURCES AND A TIME-VARYING DELAY[J]. Acta mathematica scientia, Series B, 2017 , 37(6) : 1803 -1816 . DOI: 10.1016/S0252-9602(17)30108-X

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