Darboux and Backlund transformations for the nonisospectral KP equation

Deng SF; Qin ZY

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Darboux and Backlund transformations for the nonisospectral KP equation

机译：非等谱KP方程的Darboux和Backlund变换

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Darboux transformation and Backlund transformation in bilinear form for the nonisospectral KP equation are first investigated. Corresponding solutions are derived by using the Backlund transformation in bilinear form. It has been shown that these transformations are auto-Backlund transformations for isospectral problems while not for nonisospectral ones. (c) 2006 Elsevier B.V. All rights reserved.

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《Physics Letters, A》 |2006年第6期|共8页
作者
Deng SF; Qin ZY;
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正文语种 eng
中图分类物理学;
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nonisospectral KP equation; Darboux transformation; Backlund transformation; Wronskian technique; VARIABLE-COEFFICIENT; PETVIASHVILI EQUATION; KORTEWEG-DEVRIES; FORM;

机译：非等谱KP方程;Darboux变换;Backlund变换;Wronskian技术;变量系数;PETVIASHVILI方程;KORTEWEG-DEVRIES;形式;

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1. Darboux and Backlund transformations for the nonisospectral KP equation [J] . Deng SF, Qin ZY Physics Letters, A . 2006,第6期

机译：非等谱KP方程的Darboux和Backlund变换
2. DARBOUX AND BINARY DARBOUX TRANSFORMATIONS FOR THE NONAUTONOMOUS DISCRETE KP EQUATION [J] . Willox R., Satsuma J., Tokihiro T. Journal of Mathematical Physics . 1997,第12期

机译：非自治离散KP方程的DARBOUX和二进制DARBOUX变换
3. BACKLUND TRANSFORMATIONS AND DARBOUX INTEGRABILITY FOR NONLINEAR WAVE EQUATIONS [J] . JEANNE N. CLELLAND, THOMAS A. IVEY The Asian journal of mathematics . 2009,第1期

机译：非线性波动方程的背景转换和DARBOUX积分。
4. Darboux-Backlund Transformations and RationalSolutions of the Painleve IV Equation [C] . H. Aratyn, J.F. Gomes, A.H. Zimerman International Workshop on Nonlinear and Modern Mathematical Physics . 2010

机译：Darboux-Backlund变换和痛苦IV方程的理性
5. A generalized approach to Darboux transformations for differential equations. [D] . Unlu, Mehmet. 2014

机译：微分方程Darboux变换的一种通用方法。
6. Darboux Problem for a Polyvibrating Equation: Solution as an F-Equation [O] . D. Mangeron, M. N. Oǧuztöreli 1970

机译：多元振动方程的Darboux问题：作为F方程的解
7. Super KP equations and Darboux transformations: another perspective on the Jacobian Super KP hierarchy [O] . Falqui, Gregorio, Reina, Cesare, Zampa, Alessandro 2000

机译：超级KP方程和Darboux变换：关于雅可比超级KP层次结构的另一种观点
8. Nonisospectral Deformations and Darboux Transformations for the 3rd Order Spectral Problem [R] . Levi, D., Ragnisco, O. 1987

机译：三阶谱问题的非等谱变形和Darboux变换

Darboux and Backlund transformations for the nonisospectral KP equation

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