Kink Waves and Their Evolution of the RLW-Burgers Equation | Zendy

Yuqian Zhou | Zendy; Qian Liu | Zendy

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Kink Waves and Their Evolution of the RLW-Burgers Equation

Author(s) -

Yuqian Zhou,

Qian Liu

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/109235

Subject(s) - bounded function , monotone polygon , mathematics , oscillation (cell signaling) , mathematical analysis , amplitude , burgers' equation , physics , partial differential equation , geometry , quantum mechanics , genetics , biology

This paper considers the bounded travelling waves of the RLW-Burgers equation. We prove that there only exist two types of bounded travelling waves, the monotone kink waves and the oscillatory kink waves. For the oscillatory kink wave, the regularity of its maximum oscillation amplitude changing with parameters is discussed. Exact expressions of the monotone kink waves and approximate expressions of the oscillatory ones are obtained in some special cases. Furthermore, all bounded travelling waves of the RLW-Burgers equation under different parameter conditions are identified and the evolution of them is discussed to explain the corresponding physical phenomena

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