Bäcklund transformation, lax pairs, symmetries and exact solutions for variable coefficient KdV equation

Acta Physica Sinica (Overseas Edition) ◽

10.1088/1004-423x/7/9/002 ◽

1998 ◽

Vol 7 (9) ◽

pp. 649-654 ◽

Author(s):

Fan En-gui ◽

Zhang Hong-qing ◽

Lin Gang

Keyword(s):

Exact Solutions ◽

Variable Coefficient ◽

Bäcklund Transformation ◽

Kdv Equation ◽

Backlund Transformation ◽

Download Full-text

Prolongation approach to Lax pairs and Bäcklund transformation of the variable coefficient KdV equation

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2009.01.004 ◽

2009 ◽

Vol 42 (1) ◽

pp. 408-411 ◽

Author(s):

Guo-cheng Wu

Keyword(s):

Variable Coefficient ◽

Bäcklund Transformation ◽

Kdv Equation ◽

Backlund Transformation ◽

Download Full-text

New bäcklund transformation and exact solutions for variable coefficient KdV equation

Acta Physica Sinica (Overseas Edition) ◽

10.1088/1004-423x/8/12/002 ◽

1999 ◽

Vol 8 (12) ◽

pp. 889-894 ◽

Author(s):

Yan Zhen-ya ◽

Zhang Hong-qing

Keyword(s):

Exact Solutions ◽

Variable Coefficient ◽

Bäcklund Transformation ◽

Kdv Equation ◽

Backlund Transformation

Download Full-text

Painleve analysis, Auto-Backlund transformation and new exact solutions for improved modied KdV equation

International Journal of Applied Mathematical Research ◽

10.14419/ijamr.v3i3.2940 ◽

2014 ◽

Vol 3 (3) ◽

Author(s):

Omar H. El-Kalaawy ◽

R. B. Aldenari

Keyword(s):

Exact Solutions ◽

Bäcklund Transformation ◽

Kdv Equation ◽

Painlevé Analysis ◽

Backlund Transformation ◽

New Exact Solutions ◽

Painleve Analysis

Download Full-text

Bäcklund transformation classification, integrability and exact solutions to the generalized Burgers’–KdV equation

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2016.07.022 ◽

2017 ◽

Vol 44 ◽

pp. 11-18 ◽

Author(s):

Hanze Liu ◽

Xiangpeng Xin ◽

Zenggui Wang ◽

Xiqiang Liu

Keyword(s):

Exact Solutions ◽

Bäcklund Transformation ◽

Kdv Equation ◽

Backlund Transformation

Download Full-text

New Bäcklund Transformation and New Exact Solutions to (2+1)-Dimensional KdV Equation

Communications in Theoretical Physics ◽

10.1088/0253-6102/40/3/257 ◽

2003 ◽

Vol 40 (3) ◽

pp. 257-258 ◽

Author(s):

Peng Yan-Ze

Keyword(s):

Exact Solutions ◽

Bäcklund Transformation ◽

Kdv Equation ◽

Backlund Transformation ◽

New Exact Solutions

Download Full-text

Auto-Bäcklund transformation and analytic solutions for general variable-coefficient KdV equation

Physics Letters A ◽

10.1016/s0375-9601(99)00322-9 ◽

1999 ◽

Vol 257 (3-4) ◽

pp. 149-152 ◽

Author(s):

Woopyo Hong ◽

Young-Dae Jung

Keyword(s):

Variable Coefficient ◽

Bäcklund Transformation ◽

Kdv Equation ◽

Analytic Solutions ◽

Backlund Transformation

Download Full-text

Painlevé analysis, auto-Bäcklund transformation and new analytic solutions for a generalized variable-coefficient Korteweg-de Vries (KdV) equation

The European Physical Journal B ◽

10.1140/epjb/e2006-00378-3 ◽

2006 ◽

Vol 53 (3) ◽

pp. 343-350 ◽

Author(s):

Guang-Mei Wei ◽

Yi-Tian Gao ◽

Wei Hu ◽

Chun-Yi Zhang

Keyword(s):

Variable Coefficient ◽

Bäcklund Transformation ◽

Kdv Equation ◽

Analytic Solutions ◽

Painlevé Analysis ◽

Backlund Transformation ◽

De Vries ◽

Painleve Analysis

Download Full-text

Lax pair, auto-Bäcklund transformation and conservation law for a generalized variable-coefficient KdV equation with external-force term

Applied Mathematics Letters ◽

10.1016/j.aml.2015.01.007 ◽

2015 ◽

Vol 45 ◽

pp. 58-63 ◽

Author(s):

Yuping Zhang ◽

Jing Liu ◽

Guangmei Wei

Keyword(s):

External Force ◽

Conservation Law ◽

Variable Coefficient ◽

Bäcklund Transformation ◽

Kdv Equation ◽

Lax Pair ◽

Backlund Transformation

Download Full-text

Bäcklund transformation, Lax pairs and explicit exact solutions for the shallow water waves equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.09.038 ◽

2007 ◽

Vol 187 (2) ◽

pp. 1286-1297 ◽

Author(s):

Yadong Shang

Keyword(s):

Exact Solutions ◽

Shallow Water ◽

Water Waves ◽

Bäcklund Transformation ◽

Backlund Transformation ◽

Shallow Water Waves ◽

Download Full-text

Bäcklund transformation, non-local symmetry and exact solutions for (2+1)-dimensional variable coefficient generalized KP equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/s1007-5704(00)90021-2 ◽

2000 ◽

Vol 5 (1) ◽

pp. 31-35 ◽

Author(s):

Zhenya Yan

Keyword(s):

Exact Solutions ◽

Variable Coefficient ◽

Bäcklund Transformation ◽

Local Symmetry ◽

Backlund Transformation ◽

Kp Equations ◽

Non Local ◽

Dimensional Variable

Download Full-text