Results 51 to 60 of about 1,134 (216)
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9814-9831, June 2026.ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq +4 more
wiley +1 more source
D-Modules and Darboux Transformations
Letters in Mathematical Physics, 1998 A method of G. Wilson for generating commutative algebras of ordinary differential operators is extended to higher dimensions. Our construction, based on the theory of D-modules, leads to a new class of examples of commutative rings of partial differential operators with rational spectral varieties.
Berest, Yu., Kasman, A.
openaire +2 more sources
On the Darboux transformation. II. [PDF]
, 1995 summary:Automorphisms of the family of all Sturm-Liouville equations $y^{^{\prime \prime }}=qy$ are investigated.
Chrastinová, Veronika +1 more
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Solving bi-directional soliton equations in the KP hierarchy by gauge transformation [PDF]
, 2006 We present a systematic way to construct solutions of the (n = 5)-reduction of the BKP and CKP hierarchies from the general τ function τn+k of the KP hierarchy.
Cheng, Yi +4 more
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AxiomsWith a specific Darboux transformation, we construct solutions to the sine-Gordon equation. We use both the simple Darboux transformation as well as the multiple Darboux transformation, which enables the obtainment of compact solutions of this equation ...
Pierre Gaillard
doaj +1 more source
Probabilistic correlation functions of the Schwarzian field theory
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract We study correlation functions of the probabilistic Schwarzian field theory. We compute cross‐ratio correlation functions exactly in the case when the corresponding Wilson lines do not intersect, confirming predictions made in the physics literature via limit of the conformal bootstrap and the DOZZ formula.
Ilya Losev
wiley +1 more source
Darboux Transformation and A-operator [PDF]
, 1994 Firstly, the fundamental equality of Darboux transformation of the differential operator H(u)=-∂^2+u is proved based on the Kupershmidt-Wilson factorization of the associated ∧-operator ∧(u)=∂^・(2^u'+u∂-4^∂^3).
オオミヤ, マユミ +2 more
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Discrete Dynamics in Nature and Society, 2012 We find an interesting phenomenon that the discrete system appearing in a reference can be reduced to the old integrable system given by Merola, Ragnisco, and Tu in another reference.
Xianbin Wu, Weiguo Rui, Xiaochun Hong
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Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation
Advances in Mathematical Physics, 2021 A semidiscrete integrable coupled system is obtained by embedding a free function into the discrete zero-curvature equation. Then, explicit solutions of the first two nontrivial equations in this system are derived directly by the Darboux transformation ...
Qiulan Zhao, Qianqian Yang, Xiangwen Qu
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Fortschritte der Physik, Volume 74, Issue 5, May 2026.ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka +2 more
wiley +1 more source