TY - JOUR
T1 - Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients
AU - Mai, Xin Lei
AU - Li, Wei
AU - Dong, Shi Hai
N1 - Publisher Copyright:
© 2021 Xin-Lei Mai et al.
PY - 2021
Y1 - 2021
N2 - In this paper, a trial function method is employed to find exact solutions to the nonlinear Schrödinger equations with high-order time-dependent coefficients. This system might be used to describe the propagation of ultrashort optical pulses in nonlinear optical fibers, with self-steepening and self-frequency shift effects. The new general solutions are found for the general case a0≠0 including the Jacobi elliptic function solutions, solitary wave solutions, and rational function solutions which are presented in comparison with the previous ones obtained by Triki and Wazwaz, who only studied the special case a0=0.
AB - In this paper, a trial function method is employed to find exact solutions to the nonlinear Schrödinger equations with high-order time-dependent coefficients. This system might be used to describe the propagation of ultrashort optical pulses in nonlinear optical fibers, with self-steepening and self-frequency shift effects. The new general solutions are found for the general case a0≠0 including the Jacobi elliptic function solutions, solitary wave solutions, and rational function solutions which are presented in comparison with the previous ones obtained by Triki and Wazwaz, who only studied the special case a0=0.
UR - http://www.scopus.com/inward/record.url?scp=85108971878&partnerID=8YFLogxK
U2 - 10.1155/2021/6694980
DO - 10.1155/2021/6694980
M3 - Artículo
AN - SCOPUS:85108971878
SN - 1687-7357
VL - 2021
JO - Advances in High Energy Physics
JF - Advances in High Energy Physics
M1 - 6694980
ER -