Results 81 to 90 of about 1,069 (170)
Analytic Investigation of a Generalized Variable-Coefficient KdV Equation with External-Force Term
MathematicsThis paper investigates integrable properties of a generalized variable-coefficient Korteweg–de Vries (gvcKdV) equation incorporating dissipation, inhomogeneous media, and an external-force term.
Gongxun Li +4 more
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New approach to Bäcklund transformations for a curve and its pedal curve [PDF]
, 2019 In this paper, we study Bäcklund transformations for the pedal curve given a space curve in the Euclidean 3-space. Firstly, we give Bishop frame on a pedal curve in E 3 . Then, we obtain some essential equations of Bäcklund transformation with the aid of
Sarıaydın, Muhammed T. +3 more
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On Differential Equations Derived from the Pseudospherical Surfaces
Abstract and Applied Analysis, 2014 We construct two metric tensor fields; by means of these metric tensor fields, sinh-Gordon equation and elliptic sinh-Gordon equation are obtained, which describe pseudospherical surfaces of constant negative Riemann curvature scalar σ = −2, σ = −1 ...
Hongwei Yang, Xiangrong Wang, Baoshu Yin
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Bäcklund Transformations between the KdV Equation and a New Nonlinear Evolution Equation [PDF]
, 2017 We first give a Bäcklund transformation from the KdV equation to a new nonlinear evolution equation. We then derive two Bäcklund transformations with two pseudopotentials, one of which is from the KdV equation to the new equation and the other from the ...
Xifang Cao
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Nonlocal symmetries of Frobenius sinh-Gordon systems
Advances in Difference Equations, 2018 In this paper, we consider a weakly coupled sinh-Gordon equation which takes values in a commutative Frobenius subalgebra of gl(2,C) $gl(2,\mathbb {C})$.
Huijuan Zhou +3 more
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Results in PhysicsThis paper investigates the (n+1) dimensional integrable extension of the Kadomtsev–Petviashvili (KP) equation. The study focuses on extracting Auto-Bäcklund transformations for the given model using the extended homogeneous balance (HB) method in ...
Nauman Raza +4 more
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Painlevé analysis, auto-Bäcklund transformation and new analytic solutions for a generalized variable-coefficient Korteweg-de Vries (KdV) equation [PDF]
, 2006 There has been considerable interest in the study on the variable-coefficient nonlinear evolution equations in recent years, since they can describe the real situations in many fields of physical and engineering sciences.
Chun-Yi Zhang +3 more
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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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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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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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