Title

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

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