1Ecole Nationale Supérieure Polytechnique, University of Yaounde I, PO Box 8390, Cameroon2Department of Physics, Faculty of Science, University of Yaounde I, PO Box 812, Cameroon3The Abdus Salam International Centre for Theoretical Physics, PO Box 586, Strada Costiera, II-34014, Trieste, Italy
Initial-Value Problem of a Coupled Dispersionless System: Dynamical System Approach
1Ecole Nationale Supérieure Polytechnique, University of Yaounde I, PO Box 8390, Cameroon2Department of Physics, Faculty of Science, University of Yaounde I, PO Box 812, Cameroon3The Abdus Salam International Centre for Theoretical Physics, PO Box 586, Strada Costiera, II-34014, Trieste, Italy
摘要We investigate the dynamical behaviour of a coupled dispersionless system (CDS) by solving its initial-value problem following a dynamical system approach. As a result, we unearth a typical miscellaneous travelling waves including the localized and periodic ones. We also investigate the energy density of such waves and find that under some boundary conditions, the localized waves moving towards positive direction are more stable than the periodic waves which on contrary stand for the most stable travelling waves in another situation of boundary conditions.
Abstract：We investigate the dynamical behaviour of a coupled dispersionless system (CDS) by solving its initial-value problem following a dynamical system approach. As a result, we unearth a typical miscellaneous travelling waves including the localized and periodic ones. We also investigate the energy density of such waves and find that under some boundary conditions, the localized waves moving towards positive direction are more stable than the periodic waves which on contrary stand for the most stable travelling waves in another situation of boundary conditions.
[1] Maimistov A I and Manykin 1983 Sov. Phys. JETP 58 685 [2] Hirota R and Satsuma J 1981 Phys. Lett. A 85407 [3] Hase Y and Satsuma J 1989 J. Phys. Soc. Jpn. 57 679 [4] Kodama Y 1988 Phys. Lett. A 129 223 [5] Takasaki K and Takebe T 1992 Int. J. Mod. Phys. A 7 889 [6] Krichever I M 1994 Commun. Pure Appl. Math. 47437 [7] Lebedev D and Manin Y 1979 Phys. Lett. A 74154 [8] Zakharov V E 1981 Physica D 3 193 [9] Kodama Y and Gibbons J 1990 Proc. 4th Workshop onNonlinear and Turbulent Proc. in Phys. (Singapore: WorldScientific) [10] Krichever I M 1991 Commun. Math. Phys. 143415 [11] Konno K and Oono H 1994 J. Phys. Soc. Jpn. 63377 [12] Alagesan T and Porsezian K 1996 Chaos SolitonsFractals 7 1209 [13] Alagesan T, Chung Y and Nakke E 2004 ChaosSolitons Fractals 21 63 [14] Kotlyarov V P 1994 J. Phys. Soc. Jpn. 63 3535 [15] Fu Z, Liu S K and Liu S D 2007 Physica Scripta 76 15 [16] Pohlmeyer K 1976 Commun. Math. Phys. 46 207 [17] Lund F and Regge T 1976 Phys. Rev. D 14 1524 [18] Kakuhata H and Konno K 1996 J. Phys. Soc. Jpn. 65 1
2009, Vol. 26 
