首页|A KAM theorem for 2-dimensional nonlinear Schr?dinger equations with forcing terms and(2p+1)-nonlinearities
A KAM theorem for 2-dimensional nonlinear Schr?dinger equations with forcing terms and(2p+1)-nonlinearities
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In this paper,we prove an infinite dimensional KAM theorem and apply it to study 2-dimensional nonlinear Schrödinger equations with different large forcing terms and(2p+1)-nonlinearities iut-△u+ψi((ω)1t)u+ψ2((ω)2t)|u|2pu=0,t ∈(R),x ∈ T2 under periodic boundary conditions.As a result,the existence of a Whitney smooth family of small-amplitude reducible quasi-periodic solutions is obtained.
Schrödinger equationreducible KAM torismall divisorquasi-periodic solution
Shuaishuai XUE
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School of Mathematics,Nanjing Audit University,Nanjing 211815,China
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