In this paper, exact solutions of two-dimensional nonlinear Schrödinger equation with kerr, saturable and quintic type of nonlinearities are studied by means of the Homotopy analysis method (HAM). Linear stability properties of these solutions are investigated by the linearized eigenvalue problem. We also investigate nonlinear stability properties of the exact solutions obtained by HAM by direct simulations.
| Published in | Applied and Computational Mathematics (Volume 2, Issue 6) |
| DOI | 10.11648/j.acm.20130206.18 |
| Page(s) | 152-158 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2013. Published by Science Publishing Group |
Homotopy Analysis Method, Nonlinear Schrödinger Equation, Stability
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APA Style
Nalan Antar, Nevin Pamuk. (2013). Exact Solutions of two-Dimensional Nonlinear Schrödinger Equations with External Potentials. Applied and Computational Mathematics, 2(6), 152-158. https://doi.org/10.11648/j.acm.20130206.18
ACS Style
Nalan Antar; Nevin Pamuk. Exact Solutions of two-Dimensional Nonlinear Schrödinger Equations with External Potentials. Appl. Comput. Math. 2013, 2(6), 152-158. doi: 10.11648/j.acm.20130206.18
AMA Style
Nalan Antar, Nevin Pamuk. Exact Solutions of two-Dimensional Nonlinear Schrödinger Equations with External Potentials. Appl Comput Math. 2013;2(6):152-158. doi: 10.11648/j.acm.20130206.18
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Download@article{10.11648/j.acm.20130206.18,
author = {Nalan Antar and Nevin Pamuk},
title = {Exact Solutions of two-Dimensional Nonlinear Schrödinger Equations with External Potentials},
journal = {Applied and Computational Mathematics},
volume = {2},
number = {6},
pages = {152-158},
doi = {10.11648/j.acm.20130206.18},
url = {https://doi.org/10.11648/j.acm.20130206.18},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20130206.18},
abstract = {In this paper, exact solutions of two-dimensional nonlinear Schrödinger equation with kerr, saturable and quintic type of nonlinearities are studied by means of the Homotopy analysis method (HAM). Linear stability properties of these solutions are investigated by the linearized eigenvalue problem. We also investigate nonlinear stability properties of the exact solutions obtained by HAM by direct simulations.},
year = {2013}
}
TY - JOUR T1 - Exact Solutions of two-Dimensional Nonlinear Schrödinger Equations with External Potentials AU - Nalan Antar AU - Nevin Pamuk Y1 - 2013/12/30 PY - 2013 N1 - https://doi.org/10.11648/j.acm.20130206.18 DO - 10.11648/j.acm.20130206.18 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 152 EP - 158 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20130206.18 AB - In this paper, exact solutions of two-dimensional nonlinear Schrödinger equation with kerr, saturable and quintic type of nonlinearities are studied by means of the Homotopy analysis method (HAM). Linear stability properties of these solutions are investigated by the linearized eigenvalue problem. We also investigate nonlinear stability properties of the exact solutions obtained by HAM by direct simulations. VL - 2 IS - 6 ER -
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