Soliton asymptotics of the Cauchy problem solution for the Toda lattice

Inverse Problems

Volumn 13, Issue 2, 1997, Pages 223-237

  Boutet De Monvel, A ^a   Egorova, I ^a   Khruslov, E ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007456380     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/13/2/003     Document Type: Article

References (13)

1. [Br] Berezanskii Yu 1984 The integration of semi-infinite Toda chain by means of inverse spectral problem Preprint 84.79, Kiev
2. [Eg] Egorova I 1987 Spectral analysis of the Dirac operators and Jacobi matrices with the limit periodic coefficients PhD Thesis University of Kharkov
3. [GGKM] Gardner C S, Greene J M, Kruskal M D and Miura R M 1967 Method for solving the Korteveg-de Vries equation Phys. Rev. Lett. 19 1095-7
4. [GP] Gurevich A and Pitaevskii L 1973 Splitting of an initial jump in the KdV equation JETP Lett. 17 268-71
5. [Kh] Khruslov E 1976 Asymptotics of the Cauchy problem solution to the KdV equation with the step-like initial data Math. Sborn. 99 261-81
6. [KKh1] Kotlyarov V and Khruslov E 1986 On solitons of the nonlinear Schroedinger equation generated by a continuous spectrum Theor. Math. Phys. 68 172-86
7. [KKh2] Kotlyarov V and Khruslov E 1989 Asymptotic solitons of the modified Korteweg-de Vries equation Inverse Problems 5 1075-88
8. [Kt1] Kotlyarov V 1989 Asymptotic solitons of the sine-Gordon equation Theor. Math. Phys. 80 15-28
9. [Kt2] Kotlyarov V 1991 An influence of the continuous spectrum of the Dirac operator on asymptotic solitons of the nonlinear Schroedinger equation Math. Zametki 49 84-94
10. [LS] Lonngren K and Scott A (ed) 1978 Soliton Theory (New York: Academic)
11. [Nv] Novikov S (ed) 1980 Soliton Theory. Inverse Problem Method (Moscow: Nauka)
12. [Td] Toda M 1981 Theory of Nonlinear Lattices (New York: Springer)
13. [TF] Takhtajan L and Faddeev L 1986 Hamiltonian Methods in the Theory of Solitons (Moscow: Nauka) (1987 Engl. transl. (Berlin: Springer))