Nonpropagating solitons of the variable coefficient and nonisospectral Korteweg–de Vries equation

作者: W. L. Chan , Li Kam‐Shun

DOI: 10.1063/1.528533

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摘要: The method of inverse scattering is extended to solve the initial value problem a variable coefficient and nonisospectral Korteweg–de Vries equation with time varying boundary condition. One‐ two‐soliton solutions are examined in detail. By an appropriate decomposition, soliton interactions asymptotic behaviors investigated. Oscillating asymptotically standing discussed.

参考文章(5)
S Novikov, Sergei V Manakov, Lev Petrovich Pitaevskii, Vladimir Evgenevič Zakharov, Theory of Solitons: The Inverse Scattering Method ,(1984)
T P Moloney, P F Hodnett, Soliton interactions (for the Korteweg-deVries equation): a new perspective Journal of Physics A. ,vol. 19, ,(1986) , 10.1088/0305-4470/19/18/003
Junru Wu, Robert Keolian, Isadore Rudnick, Observation of a nonpropagating hydrodynamic soliton Physical Review Letters. ,vol. 52, pp. 1421- 1424 ,(1984) , 10.1103/PHYSREVLETT.52.1421
W. L. Chan, Zheng Yu-Kun, Solutons of a nonisospectral and variable coefficient Korteweg-de Vries equation Letters in Mathematical Physics. ,vol. 14, pp. 293- 301 ,(1987) , 10.1007/BF00402138