Existence of Traveling Waves in Lattice Dynamical Systems
نویسندگان
چکیده
Existence of traveling wave solutions for some lattice differential equations is investigated. We prove that there exists c 0 ∗ > such that for each c c∗ ≥ , the systems under consideration admit monotonic nondecreasing traveling waves.
منابع مشابه
Traveling Waves in
For a class of 1-dimensional lattice dynamical systems we prove the existence of periodic traveling waves with prescribed speed and arbitrary period. Then we study asymptotic behaviour of such waves for big values of period and show that they converge, in an appropriate topology, to a solitary traveling wave.
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