Results 81 to 90 of about 1,585,437 (172)
, 2011 A Lie algebra which consists of linear combinations of one basis of the Lie algebra A1is presented for which an isospectral Lax pair is exhibited. By using the zero curvature equation, the generalized mKdV equation, Liouville equation and sine-Gordon ...
HONWAH TAM, JING ZHAO, YUFENG ZHANG
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A Two-Component Generalization of the Integrable rdDym Equation
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We find a two-component generalization of the integrable case of rdDym equation. The reductions of this system include the general rdDym equation, the Boyer-Finley equation, and the deformed Boyer-Finley equation.
Oleg I. Morozov
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Bäcklund Transformations for the Trigonometric Gaudin Magnet
Symmetry, Integrability and Geometry: Methods and Applications, 2010 We construct a Bäcklund transformation for the trigonometric classical Gaudin magnet starting from the Lax representation of the model. The Darboux dressing matrix obtained depends just on one set of variables because of the so-called spectrality ...
Federico Zullo, Orlando Ragnisco
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Научный вестник МГТУ ГА, 2016 We find contact integrable extensions and coverings for the r-th double modified dispersionless Kadomtsev-Petviashvili law equation. One of the coverings provides a Bäcklund auto-transformation and a recursion operator for the equation under the study.
O. I. Morozov, M. V. Pavlov
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Bilinear Bäcklund transformation, Lax pair and multi-soliton solution for a vector Ramani equation
, 2017 In this paper, a vector Ramani equation is proposed by using the bilinear approach. With the help of the bilinear exchange formulae, bilinear Bäcklund transformation and the corresponding Lax pair for the vector Ramani equation are derived.
Junchao Chen, Bao-Feng Feng, Yong Chen
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Abstract and Applied Analysis, 2014 First, by improving some key steps in the homogeneous balance method, a new auto-Bäcklund transformation (BT) to the KdV equation with general variable coefficients is derived.
Chunping Liu
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Bäcklund Transformation and New Exact Solutions of the Sharma-Tasso-Olver Equation
Abstract and Applied Analysis, 2011 The Sharma-Tasso-Olver (STO) equation is investigated. The Painlevé analysis is efficiently used for analytic study of this equation. The Bäcklund transformations and some new exact solutions are formally derived.
Lin Jianming, Ding Jie, Yuan Wenjun
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Alexandria Engineering JournalThis study demonstrates the ability of hybrid neural networks to produce soliton and interaction solutions for the Itô equation in three-dimensional spaces representing an idealized ocean environment. The hybrid neural network developed utilizes both the
Wedad Albalawi +3 more
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On Bäcklund Transformations for Nonlinear Partial Differential Equations
, 1995 In this paper, Bäcklund transformations for nonlinear partial differential equations are obtained without using any structure associated with the equations. We classify all the nonlinear partial differential equations of the form uxxx = F(u, ux, ut) that
Wu, H.Y.
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EXACT SOLUTIONS FOR DIFFERENTIAL-DIFFERENCE EQUATIONS BY BÄCKLUND TRANSFORMATION OF RICCATI EQUATION
, 2010 Based on a Bäcklund transformation of the Riccati equation and its known soliton solutions, we obtain in this paper some exact traveling-wave solutions, including triangle function solutions and hyperbolic function solutions, of a hybrid lattice equation.
JIANQIN MEI, Y. C. HON, YUFENG ZHANG
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