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Traveling wave solution of driven nonlinear Schrödinger equation
- Source :
- Physics of Plasmas. 24:092117
- Publication Year :
- 2017
- Publisher :
- AIP Publishing, 2017.
-
Abstract
- The traveling solitary and cnoidal wave solutions of the one dimensional driven nonlinear Schrodinger equation with a generalized form of nonlinearity are presented in this paper. We examine the modulation of nonlinear solitary excitations in two known weakly nonlinear models of classic oscillators, namely, the Helmholtz and Duffing oscillators and envelope structure formations for different oscillator and driver parameters. It is shown that two distinct regimes of subcritical and supercritical modulations may occur for nonlinear excitations with propagation speeds v 4F0, respectively, in which F0 is the driver force strength. The envelope soliton and cnoidal waves in these regimes are observed to be fundamentally different. The effect of pseudoenergy on the structure of the modulated envelope excitations is studied in detail for both sub- and supercritical modulation types. The current model for traveling envelope excitations may be easily extended to pseudopotentials with full nonlinearity rel...
- Subjects :
- Physics
Cnoidal wave
Condensed Matter Physics
01 natural sciences
010305 fluids & plasmas
Schrödinger equation
symbols.namesake
Nonlinear system
Classical mechanics
Helmholtz free energy
0103 physical sciences
Modulation (music)
symbols
Soliton
010306 general physics
Nonlinear Sciences::Pattern Formation and Solitons
Nonlinear Schrödinger equation
Envelope (waves)
Subjects
Details
- ISSN :
- 10897674 and 1070664X
- Volume :
- 24
- Database :
- OpenAIRE
- Journal :
- Physics of Plasmas
- Accession number :
- edsair.doi...........33446c20b337128e2b60ab8a0ab1ce7a