On the existence of smooth breathers for nonlinear wave equations

DOI10.1016/0022-0396(92)90156-HzbMath0796.35110MaRDI QIDQ1188250

Michael W. Smiley

Publication date: 13 August 1992

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Lyapunov-Schmidt reductionmethod of alternative problemsradially symmetric sine-Gordon equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70) Bifurcations in context of PDEs (35B32)

Cites Work

• Periodic nonlinear waves on a half-line
• Eigenfunction methods and nonlinear hyperbolic boundary value problems at resonance
• Low-dimensional qualitative and numerical approximation of bifurcation in a semilinear elliptic problem
• Nonexistence of spatially localized free vibrations for a class of nonlinear wave equations
• Minimal periods for solutions of semilinear wave equations in exterior domains and for solutions of the equations of nonlinear elasticity
• Complex-valued time-periodic solutions and breathers of nonlinear wave equations
• Existence in the large of periodic solutions of hyperbolic partial differential equations
• Functional analysis and Galerkin's method
• Breathers and forced oscillations of nonlinear wave equations on R3.
• Time-periodic solutions of wave equations on ℝ1 and ℝ3
• Breather solutions of the nonlinear wave equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the existence of smooth breathers for nonlinear wave equations