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Envelope periodic solutions to nonlinear Schrödinger equation. (Chinese. English summary) Zbl 1051.35088

Summary: A new method of solving nonlinear Schrödinger equations is introduced. By using the homogeneous balance principle and the \(F\)-expansion method, some envelope solutions for the Schrödinger equation are obtained.

MSC:

35Q55 NLS equations (nonlinear Schrödinger equations)
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
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