Results 61 to 70 of about 276 (182)
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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Diverse Soliton Structures of Induced Curves in the Integrable Coupled Kuralay Equation
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This study explores the integrable coupled Kuralay equation, which is widely utilized to study the motion of induced curves. In fields such as ferromagnetic materials, nonlinear optics, and optical fibers, soliton solutions of the Kuralay equation have emerged as significant recent developments.
Shah Muhammad +4 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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Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This research work provides a comprehensive investigation of the M‐fractional paraxial wave equation (M‐fPWE) in describing complex optical phenomena in telecommunication systems and nonlinear media, focusing on the dynamical analysis of optical soliton solutions, the impact of M‐fractional parameters, stability, multistability, and the chaotic nature ...
Md. Mamunur Roshid +5 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
doaj
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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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This manuscript studies the stochastic time fraction modified complex Ginzburg–Landau (SFmCGL) model, an essential dynamical nonlinear model for describing the physical nature of how the optical wave soliton behaves and changes over time in a dynamic optical communication system.
Hala Abd-Elmageed +4 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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Supersymmetry and Darboux transformations
Journal of Physics: Conference Series, 2012 We study supersymmetry and Darboux transformations for generalized Schrodinger equations with a position-dependent mass and with linearly energy-dependent potentials. The formally adjoint generators of supersymmetry and two superpartner Hamiltonians are constructed and they close a quadratic pseudo-superalgebra for our class of equations.
A A Suzko, E Velicheva
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