Existence of periodic travelling-wave solutions of nonlinear, dispersive wave equations
Abstract
For general classes of nonlinear, dispersive wave equations, we discuss the existence of the analogue of the cnoidal-wave solutions of the Korteweg-de Vries equation. The solutions in question have travelling and periodic features. The topological-degree theory of positive operators on Banach spaces is applied.
Publication Title
Nonlinearity
Recommended Citation
Chen, H. (2004). Existence of periodic travelling-wave solutions of nonlinear, dispersive wave equations. Nonlinearity, 17 (6), 2041-2056. https://doi.org/10.1088/0951-7715/17/6/003
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