Non-existence of certain elliptic solutions of the Cubic-nonlinear Schr\"odinger Equation

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Publication:6424442

arXiv2301.11003MaRDI QIDQ6424442

Valery Serov, H. W. Schürmann

Publication date: 26 January 2023

Abstract: For a certain class of solutions of the cubic nonlinear Sch"odinger equation we prove non-existence in the generic case. In the nongeneric case we present a two-parameter set of solutions, bounded or unbounded, depending on corresponding constraints.












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