Solitary and generalized solitary waves in dispersive media

Journal of Applied Mathematics and Mechanics

Volumn 61, Issue 4, 1997, Pages 587-600

  Il'ichev, A T ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031284072     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(97)00076-2     Document Type: Article

References (11)

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3. 3. PLISS, V. A., The reduction principle in the theory of stability of motion. Izv. Akad. Nauk SSSR. Ser. Mat., 1964, 28, 6, 1297-1324.
4. 4. IOOSS, G. and ADELMEYER, M., Topics in Bifurcation Theory and Applications. World Scientific, River Edge, 1992, 160.
5. 5. ARNOL'D, V. I. and IL'YASHENKO, Yu. S., Ordinary differential equations. In Advances in Science and Technology. Present Problems in Mathematics. Fundamental Trends. Vse. Vsoyuz. Inst. Nauch. Tekh. Inform., Moscow, 1985, 1, 7-149.
6. 6. KAKUTANI, T. and ONO, H., Weak non-linear hydromagnetic waves in a cold collision-free plasma. J. Phys. Soc. Japan, 1969, 26, 5, 1305-1318.
7. 7. SAGDEYEV, R. Z., Collective processes and shock waves in rarefied plasma. In Problems of Plasma Theory, 1964, 4, 20-80. Atomizdat, Moscow.
8. 8. MARCHENKO, A. V., Long waves in a shallow liquid under an ice covering. Prikl. Mat. Mekh., 1988, 52, 2, 230-234.
9. 9. HUNTER, J. K. and SCHEURLE, J., Existence of perturbed solitary wave solutions to a model equation for water waves. Physica D., 1988, 32. 32, 2, 253-268.
10. 10. IL'ICHEV, A. T. and SEMENOV, A. Au., Stability of solitary waves in dispersive media described by a fifth-order evolution equation. Theoret. Comput. Fluid Dynamics, 1992, 3, 6, 307-326.
11. 11. POMEAU, Y., RAMANI, A. and GRAMMATICOS, B., Structural stability of the Korteweg-de Vries solitons under a singular perturbation. Physica D., 1988, 31, 1, 127-134.