RT Journal Article T1 Effect of the radiation component on soliton motion A1 Martínez Alonso, Luis AB The problem of the soliton motion in the case of a nonzero reflection coefficient is solved exactly within the framework of the inverse scattering method. A general method is given for obtaining the asymptotic expressions of the soliton angle variables. As illustrative examples of our procedure, we consider the Korteweg-de Vries equation and its higher analogs, the nonlinear Schrodinger equation, and the sine-Gordon equation. PB Amer Physical Soc SN 0556-2821 YR 1985 FD 1985 LK https://hdl.handle.net/20.500.14352/65007 UL https://hdl.handle.net/20.500.14352/65007 LA eng NO 1.L. Martínez Alonso, Phys. Rev. Lett. 54, 499 (1985). 2. L. Martínez Alonso, J. Math. Phys. 23, 1518 (1982); 24, 982 (1983);24, 2652 (1983);Phys. Rev. D 30, 2595 (1984). 3. M. Göckeler, Z. Phys. C 7, 263 (1981); 11, 125 (1981);K. Sogo and M. Wadati, Prog. Theor. Phys. 69, 431 (1983). 4. V. E. Zakharov, Zh. Eksp. Teor. Fiz. 60, 993 (1971)[Sov. Phys. JETP 33, 538 (1971)]; M. J. Ablowitz and A. C. Newell, J. Math. Phys. 14, 1277 (1973); H. Segur, J. Fluid Mech. 59, 721 (1973); M. J. Ablowitz and H. Segur, Stud. Appl. Math. 66, 159 (1982). 5. S. Tanaka, Publ. Res. Inst. Math. Sci. (Kyoto Univ. ) 10, 367 (1975). 6. S. V. Manakov, Zh. Eksp. Teor. Fiz. 65, 1392 (1973) [Sov. Phys. JETP 38, 693 (1974)]. 7. V. E. Zakharov and S. V. Manakov, Zh. Eksp. Teor. Fiz. 71, 203 (1976) [Sov. Phys. JETP 44, 106 (1976)]; V. Ju Novoksenov, Dokl. Akad. Nauk SSSR 251, 799 (1980) [Sov. Math. Dokl. 21, 529 (1980)]; A. R. Its, Dokl. Akad. Nauk SSSR 261, 14 (1981)[Sov. Math. Dokl. 24, 452 (1981)]. 8. M. J. Ablowitz and Y. Kodama, Stud. Appl. Math. 66, 159 (1982). 9. L. D. Faddeev, Trudy Mat. Inst. Steklov 73, 314 (1964) [Amer. Math. Soc. Transl. 2, 65, 139 (1967)]; P. Deift and E. Trubowitz, Comm. Pure Appl. Math. 32, 121 (1979). 10. C. S. Gardner, J. M. Green, M. D. Kruskal, and R. Miura, Comm. Pure Appl. Math. 27, 97 (1974). 11. L. Martinez Alonso, J. Phys. A 17, 2729 (1984). 12. V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz. 61, 118 (1971)[Sov. Phys. JETP 34, 62 (1972)]. 13. V. E. Zakharov, L. A. Takhtadzhyan, and L. D. Fadeev, Dokl. Akad. Nauk. SSSR 219, 1334 (1974) [Sov. Phys. Dokl. 19, 824 (1975)]. NO ©1985 The American Physical Society.This work was financially supported by the Comision Asesora de Investigacion Cientifica y Tecnica. NO Comision Asesora de Investigacion Cientifica y Tecnica, Spain DS Docta Complutense RD 15 may 2024