TY - JOUR
T1 - Lax Pair, Improved Γ -Riccati Bäcklund Transformation and Soliton-Like Solutions to Variable-Coefficient Higher-Order Nonlinear Schrödinger Equation in Optical Fibers
AU - Lu, Yinglin
AU - Wei, Guangmei
AU - Liu, Xin
N1 - Publisher Copyright:
© 2019, Springer Nature B.V.
PY - 2019/12/1
Y1 - 2019/12/1
N2 - In this paper, the higher-order nonlinear Schrödinger equation with variable-coefficient for the propagation of femtosecond pulses in optical fibers is analytically investigated. Lax pair is constructed via the Ablowitz-Kaup-Newell-Segur system, an infinite number of conservation laws are derived based on the Lax pair. Introducing an auxiliary function, an improved Γ-Riccati Bäcklund transformation is presented, which can generate successively nonlinear superposition formula. Moreover, one and two soliton-like solutions are obtained.
AB - In this paper, the higher-order nonlinear Schrödinger equation with variable-coefficient for the propagation of femtosecond pulses in optical fibers is analytically investigated. Lax pair is constructed via the Ablowitz-Kaup-Newell-Segur system, an infinite number of conservation laws are derived based on the Lax pair. Introducing an auxiliary function, an improved Γ-Riccati Bäcklund transformation is presented, which can generate successively nonlinear superposition formula. Moreover, one and two soliton-like solutions are obtained.
KW - Conservation law
KW - Improved Γ-Riccati Bäcklund transformation
KW - Optical fiber
KW - Soliton-like solution
KW - Variable-coefficient higher-order nonlinear Schrödinger equation
UR - https://www.scopus.com/pages/publications/85064214642
U2 - 10.1007/s10440-018-00233-1
DO - 10.1007/s10440-018-00233-1
M3 - 文章
AN - SCOPUS:85064214642
SN - 0167-8019
VL - 164
SP - 185
EP - 192
JO - Acta Applicandae Mathematicae
JF - Acta Applicandae Mathematicae
IS - 1
ER -