Oblique plane waves with bifurcation behaviors and chaotic motion for resonant nonlinear Schrodinger equations having fractional temporal evolution
This study deal with the oblique plane wave solutions with dynamical behaviours for (2 + 1)-dimensional resonant nonlinear Schrodinger equations having Bhom’s quantum potential with distinct law of nonlinearities (Kerr and parabolic law) and fractional temporal evolution. The considered equations ar...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2019-12-01
|
| Series: | Results in Physics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379719323472 |
| _version_ | 1818836855279321088 |
|---|---|
| author | M.G. Hafez S.A. Iqbal S. Akther M.F. Uddin |
| author_facet | M.G. Hafez S.A. Iqbal S. Akther M.F. Uddin |
| author_sort | M.G. Hafez |
| collection | DOAJ |
| description | This study deal with the oblique plane wave solutions with dynamical behaviours for (2 + 1)-dimensional resonant nonlinear Schrodinger equations having Bhom’s quantum potential with distinct law of nonlinearities (Kerr and parabolic law) and fractional temporal evolution. The considered equations are converted to solvable form by assuming conformable Khalil’s fractional derivatives. The bifurcation behaviors and chaotic motion for the existence of traveling waves are investigated by forming the planar dynamical system from the considered equations. The novel auxiliary ordinary differential equation method is therefore used to divulge several forms of plane wave solutions of these equations. It is investigated that the widths of resonant wave dynamics are significantly modified with the influence of obliqueness. The evaluated results may be very useful for better examining the resonant optical solitons in nonlinear dynamics because of obliqueness are existed in various nonlinear systems, specifically in optical bullets, Madelung fluids, etc. Keywords: Oblique resonant soliton, Resonant nonlinear Schrodinger equation, Dynamical behavior, The novel auxiliary ordinary differential equation method |
| first_indexed | 2024-12-19T03:13:14Z |
| format | Article |
| id | doaj.art-3b46112ed3ce428f8cc9dc1b312aff7a |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-19T03:13:14Z |
| publishDate | 2019-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-3b46112ed3ce428f8cc9dc1b312aff7a2022-12-21T20:37:58ZengElsevierResults in Physics2211-37972019-12-0115Oblique plane waves with bifurcation behaviors and chaotic motion for resonant nonlinear Schrodinger equations having fractional temporal evolutionM.G. Hafez0S.A. Iqbal1S. Akther2M.F. Uddin3Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong 4349, Bangladesh; Corresponding author.Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong 4349, Bangladesh; Department of Electrical and Electronic Engineering, International Islamic University Chittagong, BangladeshDepartment of Mathematics, Chittagong University of Engineering and Technology, Chittagong 4349, Bangladesh; Department of Natural Science, Port-City International University, Chittagong, BangladeshDepartment of Mathematics, Chittagong University of Engineering and Technology, Chittagong 4349, BangladeshThis study deal with the oblique plane wave solutions with dynamical behaviours for (2 + 1)-dimensional resonant nonlinear Schrodinger equations having Bhom’s quantum potential with distinct law of nonlinearities (Kerr and parabolic law) and fractional temporal evolution. The considered equations are converted to solvable form by assuming conformable Khalil’s fractional derivatives. The bifurcation behaviors and chaotic motion for the existence of traveling waves are investigated by forming the planar dynamical system from the considered equations. The novel auxiliary ordinary differential equation method is therefore used to divulge several forms of plane wave solutions of these equations. It is investigated that the widths of resonant wave dynamics are significantly modified with the influence of obliqueness. The evaluated results may be very useful for better examining the resonant optical solitons in nonlinear dynamics because of obliqueness are existed in various nonlinear systems, specifically in optical bullets, Madelung fluids, etc. Keywords: Oblique resonant soliton, Resonant nonlinear Schrodinger equation, Dynamical behavior, The novel auxiliary ordinary differential equation methodhttp://www.sciencedirect.com/science/article/pii/S2211379719323472 |
| spellingShingle | M.G. Hafez S.A. Iqbal S. Akther M.F. Uddin Oblique plane waves with bifurcation behaviors and chaotic motion for resonant nonlinear Schrodinger equations having fractional temporal evolution Results in Physics |
| title | Oblique plane waves with bifurcation behaviors and chaotic motion for resonant nonlinear Schrodinger equations having fractional temporal evolution |
| title_full | Oblique plane waves with bifurcation behaviors and chaotic motion for resonant nonlinear Schrodinger equations having fractional temporal evolution |
| title_fullStr | Oblique plane waves with bifurcation behaviors and chaotic motion for resonant nonlinear Schrodinger equations having fractional temporal evolution |
| title_full_unstemmed | Oblique plane waves with bifurcation behaviors and chaotic motion for resonant nonlinear Schrodinger equations having fractional temporal evolution |
| title_short | Oblique plane waves with bifurcation behaviors and chaotic motion for resonant nonlinear Schrodinger equations having fractional temporal evolution |
| title_sort | oblique plane waves with bifurcation behaviors and chaotic motion for resonant nonlinear schrodinger equations having fractional temporal evolution |
| url | http://www.sciencedirect.com/science/article/pii/S2211379719323472 |
| work_keys_str_mv | AT mghafez obliqueplanewaveswithbifurcationbehaviorsandchaoticmotionforresonantnonlinearschrodingerequationshavingfractionaltemporalevolution AT saiqbal obliqueplanewaveswithbifurcationbehaviorsandchaoticmotionforresonantnonlinearschrodingerequationshavingfractionaltemporalevolution AT sakther obliqueplanewaveswithbifurcationbehaviorsandchaoticmotionforresonantnonlinearschrodingerequationshavingfractionaltemporalevolution AT mfuddin obliqueplanewaveswithbifurcationbehaviorsandchaoticmotionforresonantnonlinearschrodingerequationshavingfractionaltemporalevolution |