Results 111 to 120 of about 14,211,873 (126)

Dark and singular optical solitons with Kundu–Eckhaus equation by extended trial equation method and extended G′/G-expansion scheme

Optik, 2016
This paper obtains dark and singular optical solitons from Kundu–Eckhaus model. There are two integration algorithms that are adopted. These are extended trial equation method and the extended G′/G-expansion scheme. Constraint conditions guarantees existence of these solitons.
Mehmet Ekici, Mohammad Mirzazadeh, Abdullah Sonmezoglu, Qin Zhou, Seithuti P. Moshokoa, Anjan Biswas, Milivoj Belic   +6 more
openaire   +3 more sources

Embedded solitons with χ(2) and χ(3) nonlinear susceptibilities by extended trial equation method

Optik, 2018
Abstract This paper employs the extended trial equations algorithm to extract soliton and other forms of waves in quadratic-cubic nonlinear medium. These waves stem from the continuous spectrum. The solutions appear with their corresponding constraints, also known as the existence criteria for the waves.
Abdullah Sonmezoglu, Mehmet Ekici, Ahmed H. Arnous, Qin Zhou, Houria Triki, Seithuti P. Moshokoa, Malik Zaka Ullah, Anjan Biswas, Milivoj Belic   +8 more
openaire   +3 more sources

Generalized Trial Equation Scheme and Enhance Modified Extended Tanh Function Method with Nonparaxial Pulse Propagation to the Cubic–Quintic Nonlinear Helmholtz Equation

Qualitative Theory of Dynamical Systems
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nan, Tang, Manafian, Jalil, Ilhan, Onur Alp, Malmir, Somaye, Fattah, A. A., Mahmoud, K. H., Ahmed, A. Majeed, Nasr, Y. Mohammed   +7 more
openaire   +4 more sources

Exact traveling wave solutions of (2+1)-dimensional extended Calogero–Bogoyavlenskii–Schiff equation using extended trial equation method and modified auxiliary equation method

Optical and Quantum Electronics
Ghazala Akram, Maasoomah Sadaf, Saima Arshed, Rimsha Latif, Mustafa Inc, Ahmed S. M. Alzaidi   +5 more
openaire   +3 more sources

Optical solitons with Biswas-Arshed equation by extended trial function method

Optik, 2019
Abstract This paper studies soliton dynamics for Biswas-Arshed model that is considered when group velocity dispersion is negligibly small and self-phase modulation is totally absent. Two nonlinear forms for the model are studied by the aid of extended trial function scheme. Bright, dark and singular soliton solutions emerge from this scheme.
Mehmet Ekici, Abdullah Sonmezoglu
openaire   +1 more source

Abundant travelling wave solutions for nonlinear Kawahara partial differential equation using extended trial equation method

International Journal of Computer Mathematics, 2018
In this paper, we use the extended trial equation method (ETEM) to construct the exact solutions in many different functions such as the trigonometric function, elliptic integral function, ...
Khaled A. Gepreel, Taher Abdehamed Nofal, Amera A. Al-Asmari   +2 more
openaire   +1 more source

Dispersive optical solitons with differential group delay by extended trial equation method

Optik, 2018
Abstract This paper retrieves dispersive optical soliton solutions to Schrodinger-Hirota equation in birefringent fibesr that models dispersive optical soliton propagation. The extended trial equation method is the integration algorithm employed here.
Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, Houria Triki, Qin Zhou, Seithuti P. Moshokoa, Milivoj Belic   +6 more
openaire   +1 more source

Optical solitons and conservation law in birefringent fibers with Kundu–Eckhaus equation by extended trial function method

Optik, 2019
Abstract This paper presents bright and singular optical solitons in birefringent fibers modeled by Kundu–Eckhaus equation. The extended trial function scheme successfully obtains such solitons. The conservation law is also computed for the bright solitons.
Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, A.H. Kara   +3 more
openaire   +1 more source

Optical solitons in birefringent fibers with weak non-local nonlinearity and four-wave mixing by extended trial equation method

Optik, 2018
Abstract This paper studies optical solitons in birefringent fibers with parabolic law nonlinearity coupled with waekly non-local nonlinear medium. The four-wave mixing effect is taken into consideration and thus retrieval of soliton solutions would require phase-matching condition.
Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, M.M. Babatin   +3 more
openaire   +1 more source

Sub-pico-second chirped optical solitons in mono-mode fibers with Kaup–Newell equation by extended trial function method

Optik, 2018
Abstract This paper employs extended trial function method to retrieve sub-pico-second optical soliton solutions to Kaup–Newell's equation that is one of the forms of derivative nonlinear Schrodinger's equation. Bright and singular soliton solutions are revealed with this algorithm.
Anjan Biswas, Mehmet Ekici, Abdullah Sonmezoglu, Rubayyi T. Alqahtani   +3 more
openaire   +1 more source