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A Direct Linearization Method of the Non-Isospectral KdV Equation |
| ZHAO Song-Lin**, ZHANG Da-Jun, CHEN Deng-Yuan
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Department of Mathematics, Shanghai University, Shanghai 200444
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| Cite this article: |
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ZHAO Song-Lin, ZHANG Da-Jun, CHEN Deng-Yuan 2011 Chin. Phys. Lett. 28 060203 |
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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.
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02.30.Ik
02.30.Jr
05.45.Yv
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Received: 15 December 2010
Published: 29 May 2011
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