Integrable Tolkynay equations and related Yajima-Oikawa type equations (Q6551805)

scientific article; zbMATH DE number 7861515

Language	Label	Description	Also known as
English	Integrable Tolkynay equations and related Yajima-Oikawa type equations	scientific article; zbMATH DE number 7861515

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instance of

scholarly article

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title

Integrable Tolkynay equations and related Yajima-Oikawa type equations (English)

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Ufimskiĭ Matematicheskiĭ Zhurnal

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publication date

7 June 2024

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zbMATH Keywords

integrable equations

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Heisenberg ferromagnet equation

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Yajima-Oikawa equation

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gauge equivalent

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Lax representation

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MaRDI profile type

Publication

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cites work

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A new integrable Davey–Stewartson-type equation

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An integrable equation governing short waves in a long-wave model

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Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations

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A long waves-short waves model: Darboux transformation and soliton solutions

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On a vector long wave‐short wave‐type model

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A matrix Yajima-Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions

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Multivortex solutions of a two-dimensional nonlinear wave equation.

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Geometry and multidimensional soliton equations

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Integrable \((2 + 1)\)-dimensional spin models with self-consistent potentials

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Darboux transformation and exact solutions of the integrable Heisenberg ferromagnetic equation with self-consistent potentials

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Gauge equivalence between -dimensional continuous Heisenberg ferromagnetic models and nonlinear Schrödinger-type equations

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On the simplest (2+1) dimensional integrable spin systems and their equivalent nonlinear Schrödinger equations

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A \((2+1)\)-dimensional integrable spin model: geometrical and gauge equivalent counterpart, solitons and localized coherent structures.

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Motion of curves and surfaces and nonlinear evolution equations in (2+1) dimensions

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Integrable generalizations of Schrödinger maps and Heisenberg spin models from Hamiltonian flows of curves and surfaces

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Integrable motion of curves in self-consistent potentials: relation to spin systems and soliton equations

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Deformation of surfaces, integrable systems, and Chern-Simons theory.

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Coupled dispersionless and generalized Heisenberg ferromagnet equations with self-consistent sources: Geometry and equivalence

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Integrable geometric flows of interacting curves/surfaces, multilayer spin systems and the vector nonlinear Schrödinger equation

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Integrable motion of two interacting curves, spin systems and the Manakov system

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Identifiers

DOI

10.13108/2023-15-1-122

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6551805