On the Travelling Waves for the Generalized Nonlinear Schrödinger Equation

Abstract

and Applied Analysis 3 holds for all v ∈ W 0 Ω , where W 1,p 0 Ω is the Sobolev space for Sobolev spaces, see 4 . In this case, we say that u is an eigenfunction, corresponding to the eigenpair w, k and ν, where w is a frequency, k is a wave number, and the parameter ν comes from the initial equation 1.1 . We prefer to denote the test functions in 1.7 by v… (More)

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