Results 61 to 70 of about 275 (183)
Linearizability conditions of quasi-cubic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper we study the linearizability problem of the two-dimensional complex quasi-cubic system $\dot{z}=z+(zw)^{d}(a_{30}z^{3}+a_{21}z^{2}w+a_{12}zw^2+a_{03}w^{3}),~\dot{w}=-w-(zw)^{d}(b_{30}w^{3}+b_{21}w^{2}z+b_{12}wz^2+b_{03}z^{3})$, where $z, w,
Wentao Huang, Xingyu Fan, Xingwu Chen
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Darboux transformation for two‐level system
Annalen der Physik, 2005 Abstract We develop the Darboux procedure for the case of the two‐level system. In particular, it is demonstrated that one can construct the Darboux intertwining operator that does not violate the specific structure of the equations of the two‐level system, transforming only one real potential into another real potential. We apply the
Bagrov, V. +3 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study proposes a comprehensive study on fractional soliton solutions and chaotic nature for the temporal M‐fractional Yajima–Oikawa (YO) model in shortwave and longwave regimes. Utilizing the new Jacobian elliptic function method, the optical soliton solutions are examined with diverse categories, including kinky‐periodic wave, kink with bell wave,
Md. Mamunur Roshid +5 more
wiley +1 more source
A note about isothermic surfaces in Rn-j,j
Revista Integración, 2008 In this note we survey our results on the description of ti- melike isothermic surfaces in Rn−j,j using the Grassmannian systems or U/K-systems. We give the natural extensions of the definition of Ribaucour and Darboux transformations for timelike ...
M. P. Dussan, M. A. Magid
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Darboux transformations and Darboux coverings: some applications to the KP hierarchy
Matemática Contemporânea, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paolo Casati +4 more
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Integrability of Reeb Distribution Associated to a Generalized Engel Manifold
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we define a generalized Reeb distribution of an Engel 4n‐manifold and give a necessary and sufficient condition for integrability of this Reeb distribution which gives a generalization of some results of N. Pia about Reeb distributions of Engel 4‐manifolds.
Serigne Abdoul Aziz Dramé +3 more
wiley +1 more source
A note about isothermic surfaces in Rn−j,j
Revista Integración, 2009 In this note we survey our results on the description of ti-melike isothermic surfaces in Rn-j,j using the Grassmannian systems or U/K-systems. We give the natural extensions of the definition of Ribaucour and Darboux transformations for timelike ...
M P Dussan, M A Magid
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Bäcklund--Darboux transformations in Sato's Grassmannian
, 1996 13 pages, LaTeX2e, uses amsfonts.sty and latexsym.sty, no ...
Bakalov, B., Horozov, E., Yakimov, M.
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Exploring the Chavy–Waddy–Kolokolnikov Model: Analytical Study via Recently Developed Techniques
Journal of Mathematics, Volume 2026, Issue 1, 2026.This work explores the analytical soliton solutions to the Chavy–Waddy–Kolokolnikov equation (CWKE), which is a well‐known equation in biology that shows how light‐attracted bacteria move together. This equation is very useful for analyzing pattern creation, instability regimes, and minor changes in linear situations since bacterial movement is very ...
Jan Muhammad +3 more
wiley +1 more source
Exact Propagators for Soliton Potentials
Symmetry, Integrability and Geometry: Methods and Applications, 2005 Using the method of Darboux transformations (or equivalently supersymmetric quantum mechanics) we obtain an explicit expression for the propagator for the one-dimensional Schrödinger equation with a multi-soliton potential.
Andrey M. Pupasov, Boris F. Samsonov
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