Elementary Bäcklund transformations, nonlinear superposition principle and solutions of the integrable equations

Type: Article

Publication Date: 1982-02-01

Citations: 63

DOI: https://doi.org/10.1016/0375-9601(82)90754-x

Locations

  • Physics Letters A - View

Similar Works

Action Title Year Authors
+ Bäcklund transformation, nonlinear superposition formulae and infinite conserved laws of Benjamin equation 2001 Hongqing Zhang
Yufeng Zhang
+ A Unified Derivation of Backlund Transformations for Integrable Nonlinear Equations 1996 Ling-Lie Chau
M. L. Ge
J. C. Shaw
H. C. Yen
+ On exact solutions of nonlinear integrable equations via integral linearising transforms and generalised Backlund-Darboux transformations 1990 B. G. Konopelchenko
+ The Bäcklund transformation and nonlinear superposition formula of solutions for the Liouville's equation in higher dimensions 1984 黄迅成
Huang Xun-cheng
+ An algebraic formula for superposition and the completeness of the Bäcklund transformations of (2+1)-dimensional integrable systems 1996 E. I. Ganzha
S. P. Tsarëv
+ Elementary bäcklund transformations and nonlinear superposition formulae for the evolution equations solvable by the Zakharov-Shabat spectral transform 1984
+ PDF Chat Inner automorphisms, discrete and Bäcklund transformations of integrable systems 2005 A. N. Leznov
+ Generalised Backlund transformation for some non-linear partial differential-difference equations 1978 R. K. Dodd
+ Bäcklund transformation for integrable systems 1994 A. N. Leznov
+ On superposition of the autoBacklund transformations for (2 + 1)-dimensional integrable systems ∗ 1997 E. I. Ganzha
+ A Simple Structure of Superposition Formula of the Bäcklund Transformation 1978 Ryogo Hirota
Junkichi Satsuma
+ On approximation of solutions to some (2+1)-dimensional integrable systems by Bäcklund transformations 2000 E. I. Ganzha
+ A note on the equivalence of Bäcklund transformations and the inverse scattering method for a class of non-linear differential equations 1996 H. M. El-Sherbiny
Lokenath Debnath
+ BACKLUND TRANSFORMATION, NONLINEAR SUPERPOSITION FORMULAE AND INFINITE CONSERVED LAWS OF BENJAMIN EQUATION 2001 Zhang
Hong-Qing
Yufeng
+ A Special Class of Bäcklund Transformations for Certain Nonlinear Partial Differential Equations 1993 C. Sophocleous
+ On the general structure of nonlinear evolution equations and their Backlund transformations connected with the matrix non-stationary Schrodinger spectral problem 1982 B. G. Konopelchenko
+ The Bäcklund transformation and sine-Gordon equations 2014 Minoru Fujimoto
+ The modified Camassa–Holm equation: Bäcklund transformation and nonlinear superposition formula 2020 Gaihua Wang
Q.P. Liu
Hui Mao
+ Bäcklund Transformations of Painlevé Equations and Their Applications 1999 Valerii I. Gromak
+ Generating Solutions to Discrete sine-Gordon Equation from Modified Bäcklund Transformation 2011 Xin Kou
Da‐jun Zhang
Ying Shi
Song‐lin Zhao