Abstract
The algebraic method is developed to obtain new exact solutions, including stationary wave solutions and traveling wave solutions, for the cubic-quintic nonlinear Schrödinger (NLS) equation. Specifically, we present two general solution formulae, which degenerate to the corresponding solution of the cubic NLS equation, when the quintic nonlinear term is absent. It is expected that they are useful in correlative physics fields.
| Original language | English |
|---|---|
| Pages (from-to) | 243-252 |
| Number of pages | 10 |
| Journal | Communications in Mathematical Sciences |
| Volume | 5 |
| Issue number | 2 |
| Publication status | Published - 2007 |
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Keywords
- The cubic-quintic nonlinear Schrödinger equation
- The Stationary wave solution
- Traveling wave solution
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
Cite this
New exact solutions for the cubic-quintic nonlinear Schrödinger equation. / Peng, Yan Z.; Krishnan, E. V.
In: Communications in Mathematical Sciences, Vol. 5, No. 2, 2007, p. 243-252.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - New exact solutions for the cubic-quintic nonlinear Schrödinger equation
AU - Peng, Yan Z.
AU - Krishnan, E. V.
PY - 2007
Y1 - 2007
N2 - The algebraic method is developed to obtain new exact solutions, including stationary wave solutions and traveling wave solutions, for the cubic-quintic nonlinear Schrödinger (NLS) equation. Specifically, we present two general solution formulae, which degenerate to the corresponding solution of the cubic NLS equation, when the quintic nonlinear term is absent. It is expected that they are useful in correlative physics fields.
AB - The algebraic method is developed to obtain new exact solutions, including stationary wave solutions and traveling wave solutions, for the cubic-quintic nonlinear Schrödinger (NLS) equation. Specifically, we present two general solution formulae, which degenerate to the corresponding solution of the cubic NLS equation, when the quintic nonlinear term is absent. It is expected that they are useful in correlative physics fields.
KW - The cubic-quintic nonlinear Schrödinger equation
KW - The Stationary wave solution
KW - Traveling wave solution
UR - http://www.scopus.com/inward/record.url?scp=34547190661&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34547190661&partnerID=8YFLogxK
M3 - Article
VL - 5
SP - 243
EP - 252
JO - Communications in Mathematical Sciences
JF - Communications in Mathematical Sciences
SN - 1539-6746
IS - 2
ER -