New exact solitary wave solutions, bifurcation analysis and first order conserved quantities of resonance nonlinear Schrödinger’s equation with Kerr law nonlinearity
This paper anatomizes the exact solutions of the resonant non-linear Schrödinger’s equation (R-NLSE) with the Kerr law non-linearity with the assistance of the new extended direct algebraic technique. The secured soliton erections are newfangled and unreservedly invigorating for investigators. The g...
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doaj-e3b96363afd346d7b41bd55ea1aab6822020-12-31T04:40:57ZengElsevierJournal of King Saud University: Science1018-36472021-01-01331101180New exact solitary wave solutions, bifurcation analysis and first order conserved quantities of resonance nonlinear Schrödinger’s equation with Kerr law nonlinearityAdil Jhangeer0Haci Mehmet Baskonus1Gulnur Yel2Wei Gao3Department of Mathematics, Namal Institute, 30KM Talagang Road, Mianwali 42250, PakistanDepartment of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa, TurkeyFaculty of Educational Sciences, Final International University, Kyrenia, Mersin 10, TurkeySchool of Information Science and Technology, Yunnan Normal University, Yunnan, China; Corresponding author.This paper anatomizes the exact solutions of the resonant non-linear Schrödinger’s equation (R-NLSE) with the Kerr law non-linearity with the assistance of the new extended direct algebraic technique. The secured soliton erections are newfangled and unreservedly invigorating for investigators. The graphically comprehensive report of some specific solutions is embellished with the well-judged values of parameters to illustrate their propagation. Then a planer dynamical system is introduced and the bifurcation analysis has been executed to figure out the bifurcation structures of the non-linear and super non-linear traveling wave solutions of the heeded model. All possible phase portraits are exhibited with specific values of parameters. Furthermore, a precise class of non-trivial and first-order conserved quantities is enumerated by the intervention of the multiplier approach.http://www.sciencedirect.com/science/article/pii/S1018364720302743Schrödinger’s equationBifurcation theoryConservation laws |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Adil Jhangeer Haci Mehmet Baskonus Gulnur Yel Wei Gao |
spellingShingle |
Adil Jhangeer Haci Mehmet Baskonus Gulnur Yel Wei Gao New exact solitary wave solutions, bifurcation analysis and first order conserved quantities of resonance nonlinear Schrödinger’s equation with Kerr law nonlinearity Journal of King Saud University: Science Schrödinger’s equation Bifurcation theory Conservation laws |
author_facet |
Adil Jhangeer Haci Mehmet Baskonus Gulnur Yel Wei Gao |
author_sort |
Adil Jhangeer |
title |
New exact solitary wave solutions, bifurcation analysis and first order conserved quantities of resonance nonlinear Schrödinger’s equation with Kerr law nonlinearity |
title_short |
New exact solitary wave solutions, bifurcation analysis and first order conserved quantities of resonance nonlinear Schrödinger’s equation with Kerr law nonlinearity |
title_full |
New exact solitary wave solutions, bifurcation analysis and first order conserved quantities of resonance nonlinear Schrödinger’s equation with Kerr law nonlinearity |
title_fullStr |
New exact solitary wave solutions, bifurcation analysis and first order conserved quantities of resonance nonlinear Schrödinger’s equation with Kerr law nonlinearity |
title_full_unstemmed |
New exact solitary wave solutions, bifurcation analysis and first order conserved quantities of resonance nonlinear Schrödinger’s equation with Kerr law nonlinearity |
title_sort |
new exact solitary wave solutions, bifurcation analysis and first order conserved quantities of resonance nonlinear schrödinger’s equation with kerr law nonlinearity |
publisher |
Elsevier |
series |
Journal of King Saud University: Science |
issn |
1018-3647 |
publishDate |
2021-01-01 |
description |
This paper anatomizes the exact solutions of the resonant non-linear Schrödinger’s equation (R-NLSE) with the Kerr law non-linearity with the assistance of the new extended direct algebraic technique. The secured soliton erections are newfangled and unreservedly invigorating for investigators. The graphically comprehensive report of some specific solutions is embellished with the well-judged values of parameters to illustrate their propagation. Then a planer dynamical system is introduced and the bifurcation analysis has been executed to figure out the bifurcation structures of the non-linear and super non-linear traveling wave solutions of the heeded model. All possible phase portraits are exhibited with specific values of parameters. Furthermore, a precise class of non-trivial and first-order conserved quantities is enumerated by the intervention of the multiplier approach. |
topic |
Schrödinger’s equation Bifurcation theory Conservation laws |
url |
http://www.sciencedirect.com/science/article/pii/S1018364720302743 |
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