Symmetry and perturbation of the vector nonlinear Schrödinger equation

Physica D: Nonlinear Phenomena

Volumn 152-153, Issue , 2001, Pages 171-177

  Kodama, Y ^a   Mikhailov, A V ^b,c  

^a OHIO STATE UNIVERSITY   (United States)

^b UNIVERSITY OF LEEDS   (United Kingdom)

^c LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

Nonlinear Schr dinger equation; Perturbation; Symmetry

Indexed keywords

EID: 17744366862     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(01)00168-3     Document Type: Article

References (7)

1. S.V. Manakov, On the theory of two-dimensional stationary self-focusing of electromagnetic waves, Zh. Eksp. Teo. Fiz. 65 (1973) 505-516. [Sov. Phys. JETP 38 (1974) 248-253].
2. S.V. Manakov, On the theory of two-dimensional stationary self-focusing of electromagnetic waves, Zh. Eksp. Teo. Fiz. 65 (1973) 505-516. [Sov. Phys. JETP 38 (1974) 248-253].
3. M.J. Ablowitz, H. Segur, Solitons and the Inverse Scattering Transform, SIAM Studies in Applied Mathematics, Vol. 4, SIAM, Philadelphia, 1981.
4. Fokas A.S., Fuchssteiner B. The hierarchy of the Benjamin-Ono equation. Phys. Lett. A. 86:1981;341.
5. Fucshteiner B. Mastersymmetries, higher-order time-dependent symmetries and conserved densities of nonlinear evolution equations. Prog. Theor. Phys. 70:1983;1508-1522.
6. P. Olver, Application of Lie Groups to Differential Equations, GTM, Vol. 107, Springer, Berlin, 1986.
7. Y. Kodama, A.V. Mikhailov, Obstacles to asymptotic integrability, in: A.S. Fokas, I.M. Gelfand (Eds.), Algebraic Aspects of Integrable Systems, in Memory of Irene Dorfman, Progress in Nonlinear Differential Equations, Vol. 26, Birkhäuser, Boston, 1996, pp. 173-204.