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
doaj
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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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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On adjoint symmetries and reciprocal Bäcklund transformations of evolution equations [PDF]
, 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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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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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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Bäcklund transformations in the Hauser–Ernst formalism for stationary axisymmetric spacetimes [PDF]
, 1981 It is shown that Harrison's Bäcklund transformation for the Ernst equation of general relativity is a two-parameter subset (not subgroup) of the infinite-dimensional Geroch group K.
Cosgrove, Christopher M.
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On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation
Symmetry, Integrability and Geometry: Methods and Applications, 2006 Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model.
Henrik Aratyn +2 more
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Harnessing Sulfur(VI) Fluoride Exchange Click Chemistry and Photocatalysis for Deaminative Benzylic Arylation. [PDF]
ACS Catal, 2023 Chattapadhyay D +5 more
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Fractional dynamics and optical soliton propagation in mono-mode fibers via the Fokas system. [PDF]
Sci RepIqbal N +5 more
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