On the Travelling Waves for the Generalized Nonlinear Schrödinger Equation

Mahir Hasanov

Abstract and Applied Analysis, 2011, vol. 2011, 1-12

Abstract:

This paper is devoted to the analysis of the travelling waves for a class of generalized nonlinear Schrödinger equations in a cylindric domain. Searching for travelling waves reduces the problem to the multiparameter eigenvalue problems for a class of perturbed p -Laplacians. We study dispersion relations between the eigenparameters, quantitative analysis of eigenfunctions and discuss some variational principles for eigenvalues of perturbed p -Laplacians. In this paper we analyze the Dirichlet, Neumann, No-flux, Robin and Steklov boundary value problems. Particularly, a “duality principle” between the Robin and the Steklov problems is presented.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:181369

DOI: 10.1155/2011/181369

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