Bäcklund transformations applied to the cylindrical Korteweg-de Vries equation

N. C. Freeman, Gary Horrocks, P.W. Wilkinson

Type: Article

Publication Date: 1981-02-01

Citations: 20

DOI: https://doi.org/10.1016/0375-9601(81)90074-8

View Publication

Locations

Physics Letters A - View

Similar Works

Action	Title	Year	Authors
+	Bäcklund transformations for the cylindrical Korteweg-de Vries equation	1981	J. J. C. Nimmo D. G. Crighton
+	Backlund transformation for the variable coefficient korteweg-de vries equation	1989	Alan Jeffrey Siqing Xu
+	Bäcklund Transformation for Solutions of the Korteweg-de Vries Equation	1973	H. D. Wahlquist F. B. Estabrook
+	Bäcklund Transformation of the Cylindrical KdV Equation	1980	Akira Nakamura
+	On Reciprocal Bäcklund Transformations and the Korteweg-deVries Hierarchy	1986	C. Rogers M. C. Nucci
+	Bäcklund transformations: exact solutions for the KdV and the Calogero-Degasperis-Fokas mKdV equations	1998	A. H. Khater M. A. Helal O. H. El‐Kalaawy
+	Bäcklund transformations for nonlinear evolution equations in 2 + 1 dimensions	1981	D. Levi L. Pilloni P. M. Santini
+	Bäcklund Transformations of Painlevé Equations and Their Applications	1999	Valerii I. Gromak
+	Backlund transformations for the nonlinear Korteweg-De Vries equation from the algebrogeometric point of view	1986	В. Г. Самойленко A. K. Prikarpatskii
+ PDF Chat	Bäcklund transformation, auto-Bäcklund transformation and exact solutions for KdV-type equations	2014	Omar H. El‐Kalaawy
+	Bäcklund transformation and solitonic solutions for a parametric coupled Korteweg-de Vries system	2014	Luis Cortés Vega A. Restuccia A. Sotomayor
+	Backlund transformations and solutions to KdV-type equations	1985	Ladislav Hlavatý
+	Bäcklund transformation of potentials of the Korteweg-devries equation and the interaction of solitons with cnoidal waves	1976	H. D. Wahlquist
+	Bäcklund transformation, superposition formulae and N-soliton solutions for the perturbed Korteweg–de Vries equation	2011	Licai Liu Bo Tian Bo Qin Xing Lü Zhiqiang Lin Wenjun Liu
+	On the uniqueness of Bäcklund transformations for KdV-type equations	1983	Ladislav Hlavatý
+	Similarity solutions of the Korteweg-de Vries equation	1979	M. Boiti F. Pempinelli
+	Bäcklund transformations: exact solutions for the KdV and the Calogero–Degasperis–Fokas mKdV equations	1998	A. H. Khater M. A. Helal O. H. El‐Kalaawy
+	Auto-Bäcklund transformation and new exact solutions of the generalized variable-coefficients two-dimensional Korteweg–de Vries model	2007	Yezhou Li Jian-Guo Liu
+	Bäcklund and Darboux Transformations. Applications to Nonlinear Physical Systems	2024	C. Rogers W. K. Schief
+	The application of Bäcklund transforms to physical problems	1976	Alwyn Scott

Works That Cite This (14)

Action	Title	Year	Authors
+	Bäcklund Transformation and Multisoliton Solutions in Terms of Wronskian Determinant for (2+1)-Dimensional Breaking Soliton Equations with Symbolic Computation	2010	Bo Qin Bo Tian Licai Liu Xiang-Hua Meng Wenjun Liu
+	The use of Backlund transformations in obtaining N-soliton solutions in Wronskian form	1984	J. J. C. Nimmo N. C. Freeman
+	Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique	1983	N. C. Freeman J. J. C. Nimmo
+	A method of obtaining the N-soliton solution of the Boussinesq equation in terms of a wronskian	1983	J. J. C. Nimmo N. C. Freeman
+	Bäcklund transformation and soliton interactions for the Zakharov–Kuznetsov equation in plasmas	2012	Qi‐Xing Qu Bo Tian Wenjun Liu Kun Sun Pan Wang
+ PDF Chat	INTEGRABILITY OF A NONAUTONOMOUS COUPLED KdV SYSTEM	2004	A. Kalkanlı Tuba Kilic
+	Critical correlations in a Z-invariant inhomogeneous ising model	1987	Helen Au-Yang Jacques H. H. Perk
+	Modified Kadometsev-Petviashvili equation for ion-acoustic waves	1989	Sebastiano Giambò Pietro Pantano
+	THE PAINLEVÉ INTEGRABILITY AND N-SOLITONIC SOLUTION IN TERMS OF THE WRONSKIAN DETERMINANT FOR A VARIABLE-COEFFICIENT VARIANT BOUSSINESQ MODEL OF NONLINEAR WAVES	2009	Mingzhen Wang Yi-Tian Gao Cheng Zhang Xiang-Hua Meng Xin Yu Tao Xu Qian Feng
+	On non-autonomous KdV-flows	1985	L. Abellanas A. Galindo

Works Cited by This (3)

Action	Title	Year	Authors
+	Solution by the spectral-transform method of a nonlinear evolution equation including as a special case the cylindrical KdV equation	1978	F. Calogero A. Degasperis
+	Inverse spectral problem for the one-dimensional Schrödinger equation with an additional linear potential	1978	F. Calogero A. Degasperis
+	Water waves and Korteweg–de Vries equations	1980	R. S. Johnson