Existence of multiple breathers for discrete nonlinear Schrodinger equations
Texas State University, Department of Mathematics
In this article we study discrete nonlinear Schrödinger equations without periodicity assumptions. We show the existence of multiple solutions of the form u n e -iwt (called breathers) by using Clark's Theorem in critical point theory.
Breather, Discrete nonlinear Schrödinger equation, Subquadratic, Critical point
Zhou, T., Liu, X., Shi, H., & Wen, Z. (2019). Existence of multiple breathers for discrete nonlinear Schrodinger equations. <i>Electronic Journal of Differential Equations, 2019</i>(27), pp. 1-12.