Quasi-periodic solutions for nonlinear wave equation with singular Legendre potential

Abstract In this paper, the nonlinear wave equation with singular Legendre potential utt−uxx+VL(x)u+mu+perturbation=0 $$ u_{tt}-u_{xx}+V_{L}(x)u + mu + \mathit{perturbation}=0 $$ subject to certain boundary conditions is considered, where m is a positive real number and VL(x)=−12−14tan2x $V_{L}(x)=-...

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Bibliographic Details
Main Authors: Guanghua Shi, Dongfeng Yan
Format: Article
Language:English
Published: SpringerOpen 2019-06-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-019-1225-x