https://doi.org/10.1140/epjp/i2019-12836-2
Regular Article
Solitons and elliptic function solutions of higher-order dispersive and perturbed nonlinear Schrödinger equations with the power-law nonlinearities in non-Kerr medium
1
Faculty of Science, Jiangsu University, Zhenjiang, 212013, Jiangsu, China
2
Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
3
Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
* e-mail: aly742001@yahoo.com
Received:
12
March
2019
Accepted:
20
June
2019
Published online:
2
October
2019
In this paper, the fourth-order dispersive non-linear Schrödinger equation (NLSE) with dual power law nonlinearity and perturbed NLSE with power law nonlinearity in non-Kerr medium are analyzed by employing the improved auxiliary equation technique. The perturbed NLSE depict the quantic nonlinearity effects on promulgation of the ultra-short optical pulses in a non-Kerr medium like an optical fiber. We achieved various types of soliton and elliptic function solutions, some of them are novel and did not exist previously. Graphically, representations of some obtained exact solutions are also given via assigning suitable values to the parameters that aid for understanding the physical phenomenon of these equations. The less computational work and the achieved solutions show that the current proposed technique is powerful and effective. Furthermore many other such types of higher-order NLSEs can be solved using the current method.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
