Variational methods for breather solutions of Nonlinear Wave Equations

Abstract

We construct infinitely many real-valued, time-periodic breather solutions of power-type nonlinear wave equations. These solutions are obtained from critical points of a dual functional and they are weakly localized in space. Our abstract framework allows to find similar existence results for the Klein-Gordon equation or biharmonic wave equations.

References in corpus (2)

• Nonexistence of small, odd breathers for a class of nonlinear wave equations
• Breather Solutions of the Cubic Klein-Gordon Equation

Cited by in corpus (2)

• Rotating waves in nonlinear media and critical degenerate Sobolev inequalities
• Robustness of mKdV Breathers: A Numerical Perspective