Uniqueness of Traveling Waves for a Two-Dimensional Bistable Periodic Lattice Dynamical System | Zendy

ChinChin Wu | Zendy

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Uniqueness of Traveling Waves for a Two-Dimensional Bistable Periodic Lattice Dynamical System

Author(s) -

ChinChin Wu

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 - 10.1155/2012/289168

Subject(s) - bistability , uniqueness , mathematics , traveling wave , monotonic function , lattice (music) , mathematical analysis , nonlinear system , dynamical systems theory , physics , quantum mechanics , acoustics

We study traveling waves for a two-dimensional lattice dynamical system with bistable nonlinearity in periodic media. The existence and the monotonicity in time of traveling waves can be derived in the same way as the one-dimensional lattice case. In this paper, we derive the uniqueness of nonzero speed traveling waves by using the comparison principle and the sliding method.

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