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An Alternative Form of Inverse Scattering Transform for the Korteweg-de Vries Equation |
| WU Ke-xue;CHEN Shi-rong |
| Department of Physics, Wuhan University, Wuhan 430072 |
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| Cite this article: |
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WU Ke-xue, CHEN Shi-rong 1998 Chin. Phys. Lett. 15 654-656 |
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Abstract In the viewpoint of physics, for the Korteweg-de Vries (KdV) equation, we care the evolution effects of soliton with respect to space in perturbation theory, so the new boundary condition u → 0 as t → ∞ is under our consideration. We derive Zakharov-Shabat Equation of inverse scattering for the KdV equation under new condition starting from the second Lax equation. Finally the space dependences of scattering data are determined corresponding to time dependences of scattering data in traditional case, which are bases for developing perturbation theory under new condition.
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| Keywords:
42.65.Tg
42.81.Dp
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Published: 01 September 1998
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| PACS: |
42.65.Tg
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(Optical solitons; nonlinear guided waves)
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42.81.Dp
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(Propagation, scattering, and losses; solitons)
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