TY - JOUR
T1 - Higher-order integrable evolution equation and its soliton solutions
AU - Ankiewicz, Adrian
AU - Akhmediev, Nail
PY - 2014/1/17
Y1 - 2014/1/17
N2 - We consider an extended nonlinear Schrödinger equation with higher-order odd and even terms with independent variable coefficients. We demonstrate its integrability, provide its Lax pair, and, applying the Darboux transformation, present its first and second order soliton solutions. The equation and its solutions have two free parameters. Setting one of these parameters to zero admits two limiting cases: the Hirota equation on the one hand and the Lakshmanan-Porsezian-Daniel (LPD) equation on the other hand. When both parameters are zero, the limit is the nonlinear Schrödinger equation.
AB - We consider an extended nonlinear Schrödinger equation with higher-order odd and even terms with independent variable coefficients. We demonstrate its integrability, provide its Lax pair, and, applying the Darboux transformation, present its first and second order soliton solutions. The equation and its solutions have two free parameters. Setting one of these parameters to zero admits two limiting cases: the Hirota equation on the one hand and the Lakshmanan-Porsezian-Daniel (LPD) equation on the other hand. When both parameters are zero, the limit is the nonlinear Schrödinger equation.
UR - http://www.scopus.com/inward/record.url?scp=84891832361&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2013.11.031
DO - 10.1016/j.physleta.2013.11.031
M3 - Article
SN - 0375-9601
VL - 378
SP - 358
EP - 361
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 4
ER -