Solitary Wave and Periodic Wave Solutions for a Class of Singular p-Laplacian Systems with Impulsive Effeects | Zendy

Fanchao Kong | Zendy; Zhiguo Luo | Zendy; Hongjun Qiu | Zendy

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Solitary Wave and Periodic Wave Solutions for a Class of Singular p-Laplacian Systems with Impulsive Effeects

Author(s) -

Fanchao Kong,

Zhiguo Luo,

Hongjun Qiu

Publication year - 2018

Publication title -

mathematical modelling and analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.491

H-Index - 25

eISSN - 1648-3510

pISSN - 1392-6292

DOI - 10.3846/mma.2018.002

Subject(s) - class (philosophy) , mathematics , periodic wave , mathematical analysis , order (exchange) , laplace operator , comparison theorem , pure mathematics , traveling wave , computer science , finance , artificial intelligence , economics

This work deals with the existence of periodic wave solutions and nonexistence of solitary wave solutions for a class of second-order singular p-Laplacian systems with impulsive effects. A su_cient criterion for the solutions of the considered system is provided via an innovative method of the mountain pass theorem and an approximation technique. Some corresponding results in the literature can be enriched and extended.

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