On the invariances, conservation laws, and conserved quantities of the damped–driven nonlinear Schrödinger equation-Reference-Cited by-同舟云学术

On the invariances, conservation laws, and conserved quantities of the damped–driven nonlinear Schrödinger equation

Published:2012-02 Issue:2 Volume:90 Page:199-206
ISSN:0008-4204
Container-title:Canadian Journal of Physics
language:en
Short-container-title:Can. J. Phys.

Author:

Biswas Anjan¹,Masemola P.²,Morris R.²,Kara A.H.²

Affiliation:

1. Department of Mathematical Sciences, Delaware State University, Dover, DE 1901-2277, USA.

2. School of Mathematics, University of the Witwatersrand, Wits 2050, Johannesburg, South Africa.

Abstract

We study the invariance, exact solutions, conservation laws, and double reductions of the nonlinear Schrödinger equation with damping and driving terms. The underlying equation is used to model a variety of resonant phenomena in nonlinear dispersive media, inter alia. For the purpose of our analysis, the complex equation is construed as a system of two real partial differential equations.

Publisher

Canadian Science Publishing

Subject

General Physics and Astronomy

Link

http://www.nrcresearchpress.com/doi/pdf/10.1139/p2012-008

Reference16 articles.

1. Time-periodic solitons in a damped-driven nonlinear Schrödinger equation

2. Soliton complexity in the damped-driven nonlinear Schrödinger equation: Stationary to periodic to quasiperiodic complexes

3. Parametrically excited solitary waves

4. On localized solutions in nonlinear Faraday resonance

5. Two- and Three-Dimensional Oscillons in Nonlinear Faraday Resonance

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