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Solitary wave and periodic wave solutions for the non-Newtonian filtration equations with nonlinear sources and a time-varying delay

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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… Click to show full abstract

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.

Keywords: sources time; newtonian filtration; equations nonlinear; nonlinear sources; filtration equations; non newtonian

Journal Title: Acta Mathematica Scientia
Year Published: 2017

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