摘要Direct linearization method is used to solve the non-isospectral KdV equation. The corresponding singular linear integral equation and the time dependence of measure in the singular linear integral equation are proposed. Furthermore, the solutions to the non-isospectral modified KdV equation are also derived by using the singular linear integral equation of the non-isospectral KdV equation.
Abstract：Direct linearization method is used to solve the non-isospectral KdV equation. The corresponding singular linear integral equation and the time dependence of measure in the singular linear integral equation are proposed. Furthermore, the solutions to the non-isospectral modified KdV equation are also derived by using the singular linear integral equation of the non-isospectral KdV equation.
ZHAO Song-Lin**;ZHANG Da-Jun;CHEN Deng-Yuan
. A Direct Linearization Method of the Non-Isospectral KdV Equation[J]. 中国物理快报, 2011, 28(6): 60203-060203.
ZHAO Song-Lin**, ZHANG Da-Jun, CHEN Deng-Yuan
. A Direct Linearization Method of the Non-Isospectral KdV Equation. Chin. Phys. Lett., 2011, 28(6): 60203-060203.
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