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- Title
On the invariances, conservation laws, and conserved quantities of the damped-driven nonlinear Schrödinger equation.
- Authors
Biswas, Anjan; Masemola, P.; Morris, R.; Kara, A.H.
- 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.
- Subjects
MATHEMATICAL symmetry; CONSERVATION laws (Mathematics); NONLINEAR theories; SCHRODINGER equation; MATHEMATICAL models; MATHEMATICAL analysis; PARTIAL differential equations
- Publication
Canadian Journal of Physics, 2012, Vol 90, Issue 2, p199
- ISSN
0008-4204
- Publication type
Article
- DOI
10.1139/p2012-008