TY - JOUR
T1 - Chirped super–Gaussian and super–sech pulse perturbation of nonlinear Schrödinger's equation with quadratic–cubic nonlinearity by variational principle
AU - Ayela, Amour Marc
AU - Edah, Gaston
AU - Elloh, Camille
AU - Biswas, Anjan
AU - Ekici, Mehmet
AU - Khamis Alzahrani, Abdullah
AU - Belic, Milivoj R.
N1 - Publisher Copyright:
© 2021 Elsevier B.V.
PY - 2021/4/26
Y1 - 2021/4/26
N2 - We apply variational method to the perturbed nonlinear Schrödinger equation having quadratic-cubic form of nonlinearity, to study localized optical pulses. Super-Gaussian and super-sech solitons are used as envelopes for the trial function. Numerical simulations are presented for specific values of the Gaussian and super-sech pulse parameters. The impact of the quadratic-cubic terms on the evolution for different parameters is assessed. In general, when the nonlinear quadratic and cubic coefficients increase, the frequency of the oscillations of the collective variables also increases.
AB - We apply variational method to the perturbed nonlinear Schrödinger equation having quadratic-cubic form of nonlinearity, to study localized optical pulses. Super-Gaussian and super-sech solitons are used as envelopes for the trial function. Numerical simulations are presented for specific values of the Gaussian and super-sech pulse parameters. The impact of the quadratic-cubic terms on the evolution for different parameters is assessed. In general, when the nonlinear quadratic and cubic coefficients increase, the frequency of the oscillations of the collective variables also increases.
KW - Quadratic–cubic nonlinearity
KW - Solitons
KW - Variational approach
UR - http://www.scopus.com/inward/record.url?scp=85101380202&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2021.127231
DO - 10.1016/j.physleta.2021.127231
M3 - Article
AN - SCOPUS:85101380202
SN - 0375-9601
VL - 396
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
M1 - 127231
ER -