The Hirota method and soliton solutions to the multidimensional nonlinear Schrödinger equation

Siberian Mathematical Journal

Volumn 43, Issue 2, 2002, Pages 212-214

  Borzykh, A V ^a  

^a INSTITUTE OF MATHEMATICS AND MATHEMATICAL MODELING   (Kazakhstan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141848393     PISSN: 00374466     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014788803816     Document Type: Article

References (8)

1. Ablowitz M. J. and Segur H., Solitons and the Inverse Scattering Transform, SIAM, Philadelphia (1980).
2. Shan-liang Lin and Wen-zheng Wang, "N-soliton solution of the modified nonlinear Schrödinger equation," Phys. Rev. E., 48, No. 4, 3054-3058 (1993).
3. Strachan I. A. B., "Wave solutions of a (2 + 1)-dimensional generalization of the nonlinear Schrödinger equation," Inverse Probl., 8, L21-L27 (1992).
4. Radha R. and Lakshmanan M., "Singularity structure analysis and bilinear form of a (2 + 1)-dimensional generalization of the nonlinear Schrödinger equation," Inverse Probl., 10, L29-L33 (1994).
5. Myrzakulov R. and Lakshmanan M., On the Geometrical and Gauge Equivalence of Certain (2 + 1)-Dimensional Integrable Spin Model and Nonlinear Schrödinger Equation, Almaty (1986).
6. Bliev N. K., Myrzakulov R., and Borzykh A. V., "Soliton solutions of a (2 + 1)-dimensional nonlinear Schrödinger equation," Vestnik NAN RK, No. 1, 34-40 (1997).
7. Bliev N. K., Myrzakulov R., and Borzykh A. V., "A (2 + 1)-dimensional nonlinear Schrödinger equation of repulsing type: Higher hierarchies and n-soliton solutions," Dold. NAN RK, No. 3, 19-27 (1997).
8. Ablowitz M.J. and Segur H., Solitons and the Inverse Scattering Transform [Russian translation], Nauka, Moscow (1987).