Results 91 to 100 of about 582,098 (170)
Conservation laws for shallow water waves on a sloping beach
International Journal of Mathematics and Mathematical Sciences, 1986 Shallow water waves are governed by a pair of non-linear partial differential equations. We transfer the associated homogeneous and non-homogeneous systems, (corresponding to constant and sloping depth, respectively), to the hodograph plane where we find
Yilmaz Akyildiz
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Restricted Flows and the Soliton Equation with Self-Consistent Sources
Symmetry, Integrability and Geometry: Methods and Applications, 2006 The KdV equation is used as an example to illustrate the relation between the restricted flows and the soliton equation with self-consistent sources. Inspired by the results on the Bäcklund transformation for the restricted flows (by V.B. Kuznetsov et al.
Runliang Lin, Haishen Yao, Yunbo Zeng
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Bilinear Form and Two Bäcklund Transformations for the (3+1)-Dimensional Jimbo-Miwa Equation
Abstract and Applied Analysis, 2015 With Bell polynomials and symbolic computation, this paper investigates the (3+1)-dimensional Jimbo-Miwa equation, which is one of the equations in the Kadomtsev-Petviashvili hierarchy of integrable systems.
He Li, Yi-Tian Gao
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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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Bäcklund transformations for the anti-self-dual Yang-Mills equations
, 1988 Beginning from any given (local) solution of the GL(n,ℂ) anti-self-dual Yang-Mills (ASDYM) equations on Minkowski space, a simple technique for the generation of large classes of solutions (perhaps in some sense all) is given.
Newman, ET, Chakravarty, S, Mason, L
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, 2002 We give Bäcklund transformations for the Painlevé I and Painlevé II equations to second-order and higher degree equations of Painlevé type.We give Bäcklund transformations for the Painlevé I and Painlevé II equations to second-order and higher degree ...
Sakka, A.
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Symmetries and Bäcklund Transformations for the Modified Veronese Web Equation
AppliedMathThis paper investigates recursion operators and nonlocal symmetry structures for the modified Veronese web equation. The novelty of the work lies in the explicit construction of a direct recursion operator and its inverse in the tangent-covering ...
Qingli Luo, Zhe Wang, Yufeng Zhang
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Noncommutative NLS systems: Darboux-Bäcklund transformations and integrable discretisations
We study noncommutative analogues and integrable discretisations of nonlinear Schrödinger (NLS)-type systems associated with reduction groups. In particular, we consider the Ablowitz--Kaup--Newell--Segur (AKNS) system, the Kaup--Newell derivative NLS ...
Sotiris Konstantinou-Rizos
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Symmetry analysis, soliton solutions and conservation laws of the Q(L, m, n) equation
Nonlinear AnalysisIn the present paper, symmetry and soliton solutions of the Q(L, m, n) equation are investigated. The infinitesimal operator of this equation is obtained by virtue of Lie group analysis.
Gangwei Wang +3 more
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On adjoint symmetries and reciprocal Bäcklund transformations of evolution equations
, 2009 The aim of this Licentiate Thesis is to discuss special transformations and so-called adjoint symmetries of nonlinear partial differential equations. Nonlinear partial differential equations play an important role in the description of many physical ...
Lundberg, Staffan
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