Solitons of the fourth order nonlinear Schrödinger equation. (English) Zbl 0959.35514
Summary: We show that solitons of the fourth order nonlinear Schrödinger equation may be both stationary and radiating, depending on the sign of the coefficient before the fourth derivative. A transition from one case to the other is investigated. An asymptotic solution describing soliton radiation is obtained and the soliton damping rate due to the radiation is calculated.
MSC:
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
