Periodic problem for a model nonlinear evolution equation

zbMath1057.35055MaRDI QIDQ1407732

Elena I. Kaikina, Pavel I. Naumkin, Iliya A. Shishmarev

Publication date: 6 November 2003

Published in: Advances in Differential Equations (Search for Journal in Brave)

zbMATH Keywords

existenceasymptotic behavioruniquenessnonlinear Schrödinger equationKdV equationperiodic problempseudodifferential equationnonlocal evolution equationOtto-Sudan-Ostrovsky equationwave processes in periodic media

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (6)

Periodic boundary value problem for nonlinear Sobolev-type equations ⋮ Periodic problem for an evolution equation with a quadratic and a cubic nonlinearity ⋮ Large time asymptotics of solutions to the periodic problem for the quadratic nonlinear Schrödinger equation ⋮ Asymptotics of solutions to the periodic problem for a Burgers type equation ⋮ Asymptotic expansion of solutions to the periodic problem for a non-linear Sobolev-type equation ⋮ Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation

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