The soliton solution of a modified nonlinear schrödinger equation
DOI:
https://doi.org/10.14419/gjma.v5i1.7074الكلمات المفتاحية:
Nonlinear Schrödinger equation، Soliton solution، Bilinear derivative.الملخص
Hirota bilinear derivative method can be used to construct the soliton solutions for nonlinear equations. In this paper we construct the soliton solutions of a modified nonlinear Schrödinger equation by bilinear derivative method.
المراجع
[1] Ablowitz M J, Clarkson P A. Solitons, Nonlinear Evolution Equations and Inverse Scattering. Cambridge: Cambridge University Press, 1999.
[2] R. Beals and R. R. Coifman, Scattering and inverse scattering for first order systems, Comm. pure. APPl. Math. 38(1985), 29-42.
[3] V. B. Matveev and M. A. Salle, Darboux transformation and solitons, Springer, Berlin, 1991.
[4] C. -H. Gu, H. -S. Hu and Z. -X. Zhou, Darboux Transformations in Soliton Theory and its Geometric Applications, Shanghai Science Technology Pubisher, Shanghai, 1991.
[5] Hirota R. Exact solution of the KdV equation formultiple collisions of solitons. Phys. Rev.. lett, 1971, 27:1192-1194.
[6] W. -M. Liang. Sotiary wave solutions for variant Boussinesq equations.Phys. Lett. A, 1995, 199(3-4): 169-172.
[7] L. -Y. Shen. Soliton and Integrable system. Shanghai: Shanghai Scientific and Technological Education Publishing House, 1999.
التنزيلات
منشور
إصدار
القسم
الرخصة
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal''s published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).