Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice
С. М. Бак
Abstract
In this paper we obtain results on existence of non-constant periodic traveling waves with arbitrary speed $c>0$ in infinite system of linearly coupled nonlinear oscillators on a two-dimensional lattice. Sufficient conditions for the existence of such solutions are obtained with the aid of critical point method and linking theorem.
Topics & Concepts
Traveling waveNonlinear systemLattice (music)PhysicsMathematical analysisMathematicsConstant (computer programming)Condensed matter physicsClassical mechanicsQuantum mechanicsAcousticsComputer scienceProgramming languageDifferential Equations and Numerical MethodsNonlinear Dynamics and Pattern Formation