Výsledky vyhľadávania - "INTEGRABLE systems"

Finite‐Dimensional Reductions and Finite‐Gap‐Type Solutions of Multicomponent Integrable PDEs.

Autori: Bolsinov, Alexey V. Konyaev, Andrey Yu. Matveev, Vladimir S.

Zdroj: Studies in Applied Mathematics. Aug2025, Vol. 155 Issue 2, p1-30. 30p.

Predmety: INTEGRABLE systems, PARTIAL differential equations, SOLITONS, DISCRETE systems

Kahan–Hirota–Kimura maps preserving original cubic Hamiltonians

Autori: Mañosa Fernández, Víctor Pantazi, Chara

Zdroj: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

Predmety: Àrees temàtiques de la UPC::Matemàtiques i estadística, Nonlinear Sciences - Exactly Solvable and Integrable Systems, 37J35, 37J11, 37J70, 37M15, 14E05, FOS: Physical sciences, Dynamical Systems (math.DS), Kahan-Hirota-Kimura discretization, Lie Symmetries, Hamiltonian vector fields, Symplectic maps, FOS: Mathematics, Mathematics - Dynamical Systems, Exactly Solvable and Integrable Systems (nlin.SI), Integrable maps, Kahan–Hirota–Kimura discretization

Popis súboru: application/pdf

Prístupová URL adresa: http://arxiv.org/abs/2405.01321
https://ddd.uab.cat/record/313598
https://arxiv.org/abs/2405.01321
https://hdl.handle.net/2117/432833
https://doi.org/10.1016/j.matcom.2025.05.002

On the symmetries of the modified Emden-type equation

Autori: Subhra Mondal Amitava Choudhuri

Zdroj: Canadian Journal of Physics. 103:993-1000

Predmety: 0301 basic medicine, 0303 health sciences, 03 medical and health sciences, Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, Exactly Solvable and Integrable Systems (nlin.SI), 70G65, 70G75, 70H33

Prístupová URL adresa: http://arxiv.org/abs/1304.5826

An application of dual group reductions to the AKNS integrable mKdV model.

Autori: Ma, Wen-Xiu^1,2,3,4 (AUTHOR) mawx@cas.usf.edu

Zdroj: Modern Physics Letters B. 12/20/2025, Vol. 39 Issue 35, p1-11. 11p.

Predmety: *INTEGRABLE systems, *MATHEMATICAL models, *SPECTRAL theory

Involutive Scroll Structures on Solutions of 4D Dispersionless Integrable Hierarchies.

Autori: Ferapontov, E. V. Kruglikov, B.

Zdroj: Communications in Mathematical Physics. Dec2025, Vol. 406 Issue 12, p1-26. 26p.

Predmety: *GEOMETRY, *INTEGRABLE systems

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature.

Autori: Yagasaki, Kazuyuki¹ (AUTHOR)

Zdroj: Transactions of the American Mathematical Society. Dec2025, Vol. 378 Issue 12, p8265-8281. 17p.

Predmety: *INVERSE scattering transform, *INTEGRABLE systems, *PARTIAL differential equations, *DIFFERENTIAL-algebraic equations, *MEROMORPHIC functions, *NUMERICAL integration

Cauchy–Jacobi orthogonal polynomials and the discrete CKP equation.

Autori: Li, Shi-Hao Tsujimoto, Satoshi Watanabe, Ryoto a ďalší

Zdroj: Letters in Mathematical Physics. Dec2025, Vol. 115 Issue 6, p1-16. 16p.

Predmety: *ORTHOGONAL polynomials, *INTEGRABLE systems, *YANG-Baxter equation, *FACTORIZATION, *CLUSTER algebras

Global Existence and Finite‐Time Blow‐Up for an Integrable Two‐Component Novikov System With Peakons.

Autori: Zhao, Tiantian Yan, Kai

Zdroj: Mathematical Methods in the Applied Sciences. 11/30/2025, Vol. 48 Issue 17, p16065-16077. 13p.

Predmety: *INTEGRABLE systems, *SOLITONS

The ∂‾‐Dressing Method and Soliton Solutions for the Two‐Component Gerdjikov–Ivanov Equation.

Autori: Wang, Zhenbo Zhang, Yufeng Liu, Wenhao

Zdroj: Mathematical Methods in the Applied Sciences. 11/30/2025, Vol. 48 Issue 17, p15865-15874. 10p.

Predmety: *SOLITONS, *INTEGRABLE systems, *SPECTRAL theory, *GAUGE invariance

Propagation of diverse structured periodic wave soliton solutions on the surface of an integrable space curve model via an extended analytic algorithm.

Autori: Iqbal, Mujahid Shakeel, Muhammad Murad, Muhammad Amin S. a ďalší

Zdroj: Scientific Reports. 11/24/2025, Vol. 15 Issue 1, p1-25. 25p.

Predmety: *SOLITONS, *INTEGRABLE systems, *ULTRASHORT laser pulses, *NONLINEAR wave equations, *NONLINEAR waves, *MATHEMATICAL analysis, *OPTICAL fibers

Nonlocal integrable equations from the constrained BKP hierarchy.

Autori: Wang, Lifang Cai, Liqiang Cheng, Jipeng

Zdroj: International Journal of Mathematics. Nov2025, p1. 20p.

Predmety: *INTEGRABLE systems, *BILINEAR forms, *MATHEMATICAL functions, *ANALYTICAL solutions, *FIELD theory (Physics)

Whitham–Broer–Kaup systems in multi-dimensions: Quantum and resonant NLS connections.

Autori: Pashaev, Oktay K. Rogers, Colin

Zdroj: International Journal of Geometric Methods in Modern Physics. Nov2025, p1. 24p.

Predmety: *NONLINEAR Schrodinger equation, *INTEGRABLE systems, *DYNAMICAL systems, *PAINLEVE equations, *MATHEMATICS

Deformations of the Riemann Hierarchy and the Geometry of ℳ^g,n.

Autori: Buryak, Alexandr Rossi, Paolo

Zdroj: IMRN: International Mathematics Research Notices. Oct2025, Vol. 2025 Issue 20, p1-21. 21p.

Predmety: *INTEGRABLE systems, *CONSERVATION laws (Physics), *NONLINEAR dynamical systems, *COHOMOLOGY theory, *BIFURCATION theory, *PERTURBATION theory

On the geometry of a 4-dimensional extension of a q -Painlevé I equation with symmetry type A1(1).

Autori: Stokes, Alexander Takenawa, Tomoyuki Stefan Carstea, Adrian

Zdroj: Journal of Physics A: Mathematical & Theoretical. 10/6/2025, Vol. 58 Issue 40, p1-30. 30p.

Predmety: *PAINLEVE equations, *INTEGRABLE systems, *DIMENSION theory (Topology), *SYMMETRY, *WEYL groups, *GEOMETRY, *ALGEBRAIC varieties, *AUTOMORPHISMS

Integrabilities and solutions of a perturbed Benjamin-Ono equation.

Autori: Zhao, Min Jiang, Xianjiang Qu, Changzheng

Zdroj: Journal of Mathematical Physics. Oct2025, Vol. 66 Issue 10, p1-17. 17p.

Predmety: *LAX pair, *INTEGRABLE systems, *MATHEMATICS, *LINEAR operators, *PARTIAL differential equations, *PERTURBATION theory

Surviving lower-dimensional tori of an invariant resonant torus with any number of resonances.

Autori: Trujillo, Frank¹ (AUTHOR)

Zdroj: Transactions of the American Mathematical Society. Oct2025, Vol. 378 Issue 10, p6975-7008. 34p.

Predmety: *RESONANCE, *INTEGRABLE systems, *NONLINEAR systems, *INVARIANT manifolds, *DIMENSION theory (Topology), *PERTURBATION theory

Geometry of the doubly periodic Aztec dimer model

Autori: Berggren, Tomas Borodin, Alexei

Zdroj: Communications of the American Mathematical Society. 5:475-570

Predmety: Mathematics - Algebraic Geometry, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Probability (math.PR), FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Exactly Solvable and Integrable Systems (nlin.SI), 60G55 (Primary) 60B10, 14H70, 41A60 (Secondary), Algebraic Geometry (math.AG), Mathematics - Probability, Mathematical Physics

Prístupová URL adresa: http://arxiv.org/abs/2306.07482

Euler’s Original Derivation of Elastica Equation

Autori: Matsutani, Shigeki

Zdroj: Euleriana. 5:202-227

Predmety: Mathematics - Differential Geometry, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Differential Geometry (math.DG), FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics

Prístupová URL adresa: http://arxiv.org/abs/2411.09227

Special solutions of a discrete Painlevé equation for quantum minimal surfaces

Autori: Clarkson, Peter A. Dzhamay, Anton Hone, Andrew N. W. a ďalší

Zdroj: Theoretical and Mathematical Physics. 224:1359-1397

Predmety: Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics

Prístupová URL adresa: http://arxiv.org/abs/2503.14436

On Tensor Invariants of the Clebsch System

Autori: Tsiganov, A. V.

Zdroj: Regular and Chaotic Dynamics. 30:742-764

Predmety: Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, Mathematical Physics (math-ph), Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics

Prístupová URL adresa: http://arxiv.org/abs/2504.14867