Bäcklund Transformations of Some Nonlinear Evolution Equations VIA Painlevè Analysis

IOSR Journal of Mathematics ◽

10.9790/5728-10611521 ◽

2014 ◽

Vol 10 (6) ◽

pp. 15-21

Author(s):

M. F. El-Sabbagh ◽

◽

R. Zait ◽

R. M Abdelazeem

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Bäcklund Transformations ◽

Painlevé Analysis ◽

Backlund Transformations ◽

Painleve Analysis

Download Full-text

Painlevé Analysis and Integrability Aspects of Nonlinear Evolution Equations

Springer Series in Nonlinear Dynamics - Solitons ◽

10.1007/978-3-642-73193-8_8 ◽

1988 ◽

pp. 145-161 ◽

Author(s):

M. Lakshmanan ◽

K. M. Tamizhmani

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Painlevé Analysis ◽

Painleve Analysis

Download Full-text

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

Download Full-text

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 ◽

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

Painlevé analysis of nonlinear evolution equations—an algorithmic method

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2005.02.043 ◽

2006 ◽

Vol 27 (1) ◽

pp. 139-152 ◽

Author(s):

S. Roy Choudhury

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Painlevé Analysis ◽

Algorithmic Method ◽

Painleve Analysis

Download Full-text

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 ◽

Download Full-text

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

Download Full-text

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.

Download Full-text