Generalised Bäcklund transformations for integrable evolution equations associated with Nth order scattering problems

Lecture Notes in Mathematics - Geometrical Approaches to Differential Equations ◽

10.1007/bfb0089975 ◽

1980 ◽

pp. 95-98

Author(s):

R. K. Dodd ◽

H. C. Morris

Keyword(s):

Evolution Equations ◽

Bäcklund Transformations ◽

Scattering Problems ◽

Backlund Transformations ◽

Integrable Evolution

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Bäcklund Transformations and Solutions for some Evolution Equations

Physica Scripta ◽

10.1088/0031-8949/57/5/001 ◽

1998 ◽

Vol 57 (5) ◽

pp. 545-548 ◽

Author(s):

R A Zait

Keyword(s):

Evolution Equations ◽

Bäcklund Transformations ◽

Backlund Transformations

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Another method of deriving auto-Backlund transformations for nonlinear evolution equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/16/4/024 ◽

1983 ◽

Vol 16 (4) ◽

pp. 891-892

Author(s):

Huang Xun-Cheng

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Bäcklund Transformations ◽

Backlund Transformations

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Bilinearization of Nonlinear Evolution Equations. III. Bäcklund Transformations of Higher-Order Korteweg-de Vries Equations

Journal of the Physical Society of Japan ◽

10.1143/jpsj.49.795 ◽

1980 ◽

Vol 49 (2) ◽

pp. 795-801 ◽

Author(s):

Yoshimasa Matsuno

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Higher Order ◽

Nonlinear Evolution Equations ◽

Bäcklund Transformations ◽

Backlund Transformations ◽

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The Bäcklund transformations for nonlinear evolution equations which exhibit exotic solitons

Physics Letters A ◽

10.1016/0375-9601(84)90341-4 ◽

1984 ◽

Vol 100 (1) ◽

pp. 7-10 ◽

Author(s):

D. Levi ◽

O. Ragnisco ◽

A. Sym

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Bäcklund Transformations ◽

Backlund Transformations

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Bäcklund Transformations and Exact Solutions for Nonlinear Evolution Equations in Rayleigh-Taylor Instability

Journal of the Physical Society of Japan ◽

10.1143/jpsj.68.2466 ◽

1999 ◽

Vol 68 (7) ◽

pp. 2466-2467 ◽

Author(s):

Ahmed H. Khater ◽

Abdulazeem A. Abdallah ◽

Omar H. El-Kalaawy ◽

Dirk K. Callebaut

Keyword(s):

Exact Solutions ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Taylor Instability ◽

Nonlinear Evolution Equations ◽

Bäcklund Transformations ◽

Backlund Transformations ◽

Rayleigh Taylor Instability

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Lax representations and Bäcklund transformations for one-dimensional nonlinear evolution equations

Siberian Mathematical Journal ◽

10.1007/bf02113929 ◽

1995 ◽

Vol 36 (1) ◽

pp. 147-159

Author(s):

G. A. Rudykh ◽

É. I. Semënov

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Bäcklund Transformations ◽

One Dimensional ◽

Backlund Transformations

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Approximating pseudopotentials, scattering problems, and Backlund transformations for the Korteweg-de Vries and modified Korteweg-de Vries equations with perturbations

Journal of Physics A General Physics ◽

10.1088/0305-4470/27/3/027 ◽

1994 ◽

Vol 27 (3) ◽

pp. 865-881 ◽

Author(s):

A A Alexeyev

Keyword(s):

Bäcklund Transformations ◽

Scattering Problems ◽

Backlund Transformations ◽

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Pseudopotentials, Lax equations and Backlund transformations for nonlinear evolution equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/21/1/016 ◽

1988 ◽

Vol 21 (1) ◽

pp. 73-79 ◽

Author(s):

M C Nucci

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Bäcklund Transformations ◽

Backlund Transformations ◽

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A Method and Its Implementation for Constructing Bäcklund Transformations to Nonlinear Evolution Equations

Computer Mathematics - Lecture Notes in Computer Science ◽

10.1007/978-3-540-87827-8_16 ◽

2008 ◽

pp. 188-198

Author(s):

Zhibin Li ◽

Yinping Liu ◽

Haifeng Qian

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Bäcklund Transformations ◽

Backlund Transformations

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Auto-Bäcklund Transformations Derived via the Implicit C-D Pair

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.268-270.1345 ◽

2012 ◽

Vol 268-270 ◽

pp. 1345-1348

Author(s):

Xiao Li Wang ◽

Jian Qin Mei ◽

Zhen Hua Wu

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Bäcklund Transformations ◽

New Approach ◽

Backlund Transformations

By the implicit C-D pairs, a new approach to auto-B¨acklund transformations of nonlinear evolution equations is presented in this paper. The auto-B¨acklund transformations for combined KdV and MKdV equations are obtained by this approach.

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