TY - JOUR
T1 - New exact solutions for the cubic-quintic nonlinear Schrödinger equation
AU - Peng, Yan Ze
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 Stationary wave solution
KW - The cubic-quintic nonlinear Schrödinger equation
KW - Traveling wave solution
UR - http://www.scopus.com/inward/record.url?scp=34547190661&partnerID=8YFLogxK
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U2 - 10.4310/cms.2007.v5.n2.a1
DO - 10.4310/cms.2007.v5.n2.a1
M3 - Article
AN - SCOPUS:34547190661
SN - 1539-6746
VL - 5
SP - 243
EP - 252
JO - Communications in Mathematical Sciences
JF - Communications in Mathematical Sciences
IS - 2
ER -