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Nonpropagating solitons of the variable coefficient and nonisospectral Korteweg–de Vries equation
W. L. Chan, Li Kam-Shun
Source abstract
The method of inverse scattering is extended to solve the initial value problem of a variable coefficient and nonisospectral Korteweg–de Vries equation with time varying boundary condition. One- and two-soliton solutions are examined in detail. By an appropriate decomposition, soliton interactions and asymptotic behaviors are investigated. Oscillating and asymptotically standing two-soliton solutions are discussed.
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