Verifying the Soliton Solutions to the Fifth Order KdV Equation by Ordinary Inverse Scattering Method

机译：普通逆散射法将孤子解决方案验证到第五阶KDV方程

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摘要

The Jost solution of the fifth order KdV equation derived from inverse scattering transformation in GePfand-Levitan-Marchenko formalism satisfy the both two compatibility equations. Therefore, the soliton solutions to the fifth order KdV equation can be verified theoretically.

机译：来自Gepfand-Levitan-Marchenko形式主义中的逆散射变换的第五阶KDV方程的Jost解决方案满足了两个兼容性方程。因此，理论上可以验证第五阶KDV方程的孤子解决方案。

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《International Conference on Green Materials and Environmental Engineering》|2014年||共4页
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Chao Ma; Jin-chun He;
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中图分类 TB3-532;
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The fifth order KdV equation; Inverse scattering method; Gel'fand- Levitan-Marchenko equation.;

机译：第五阶KDV方程;逆散射法;Gel'Fand- Levitan-Marchenko方程式。;

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2. The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations [J] . Wazwaz AM Applied mathematics and computation . 2007,第2期

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3. New Soliton Solutions for KdV Equations by the Simplest and the Extended Simplest Equation Methods [J] . Lee Sen-Yung, Kuo Chun-Ku Journal of the Chinese Society of Mechanical Engineers, Series C: Transactions of the Chinese Society of Mechanical Engineers . 2018,第4期

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4. Verifying the Soliton Solutions to the Fifth Order KdV Equation by Ordinary Inverse Scattering Method [C] . Chao Ma, Jin-chun He International Conference on Green Materials and Environmental Engineering . 2014

机译：普通逆散射法将孤子解决方案验证到第五阶KDV方程
5. Soliton solutions of nonlinear partial differential equations using variational approximations and inverse scattering techniques. [D] . Vogel, Thomas K. 2007

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6. One class of meromorphic solutions of general two-dimensional nonlinear equations connected with the algebraic inverse scattering method [O] . D. V. Chudnovsky 1978

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7. The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method [O] . Vakhnenko, V.O., Parkes, E.J. 2002

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8. Inverse scattering transform method and soliton solutions for Davey-Stewartson II equation. [R] . Arkadiev, V. A., Pogrebkov, A. K., Polivanov, M. C. 1989

机译：Davey-stewartson II方程的逆散射变换方法和孤子解。

Verifying the Soliton Solutions to the Fifth Order KdV Equation by Ordinary Inverse Scattering Method

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