Breathers for a relativistic nonlinear wave equation

Archive for Rational Mechanics and Analysis

Volumn 165, Issue 4, 2002, Pages 317-345

  Bensoussan, Alain ^a   Iliine, Cyrill ^b   Komech, Alexander ^c  

^a CNES   (France)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

^c UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036027323     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-002-0226-5     Document Type: Article

References (10)

1. BESSONOVA, N., RADVOGIN, Yu.: On frontal asymptotics for the nonlinear Klein-Gordon equation. Preprint No. 127 (in Russian), Inst. Appl. Math. of Russian Academy of Science, Moscow, (1995)
2. BIRNIR, B.: Qualitative analysis of radiating breathers. Comm. Pure Appl. Math. 47, 103-119 (1994)
3. BUSLAEV, V.S., PERELMAN, G.S.: On the stability of solitary waves for nonlinear Schrödinger equations. Amer. Math. Soc. Trans. 164, 75-98 (1995)
4. DENZLER, J.: A hypergeometric function approach to the persistence problem of single sine-Gordon breathers. Trans. Am. Math. Soc. 349, 4053-4083 (1997)
5. KOMECH, A.I., IMAIKIN, V., SPOHN, H.: Soliton-like asymptotics and scattering for coupled Maxwell-Lorentz equations. s 329-333 In: Proceedings of Fifth International Conference on Mathematical and Numerical Aspects of Waves Propagation, July 10-14, 2000 - Santiago de Compostela, Spain. SIAM (2000)
6. KOMECH, A.I., IMAIKIN, V., SPOHN, H.: Scattering theory for a particle coupled to a scalar field. To appear in Journal of Discrete and Continuous Dynamical Systems, 2002.
7. KICHENASSAMY, S.: Breather solutions of the nonlinear wave equation. Comm. Pure Appl. Math. 44, 789-818 (1991)
8. KOMECH, A.I., SPOHN, H.: Soliton-like asymptotics for a classical particle interacting with a scalar wave field. Nonlinear Analysis 33, 13-24 (1998)
9. NOVIKOV, S.P., MANAKOV, S.V., PITAEVSKII, L.P., ZAKHAROV, V.E.: Theory of Solitons. The Inverse Scattering Method. Consultants Bureau [Plenum], New York-London (1984)
10. KOMECH, A., VINNICHENKO, A.: Numerical simulation of soliton-like asymptotics for 1D relativistic Ginzburg-Landau equation, http://www.apv.narod.ru