The soliton solution of a modified nonlinear schrödinger equation
DOI:
https://doi.org/10.14419/gjma.v5i1.7074Published
10-01-2017Keywords:
Nonlinear Schrödinger equation, Soliton solution, Bilinear derivative.Abstract
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.
References
[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.
