Higher-dimensional integrable deformations of the modified KdV equation (Q6168245)

scientific article; zbMATH DE number 7724063

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English	Higher-dimensional integrable deformations of the modified KdV equation	scientific article; zbMATH DE number 7724063

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instance of

scholarly article

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title

Higher-dimensional integrable deformations of the modified KdV equation (English)

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Communications in Theoretical Physics

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publication date

8 August 2023

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full work available at URL

https://arxiv.org/abs/2302.05880

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zbMATH Keywords

higher-dimensional integrable equation

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conservation form

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deformation mapping

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Lax integrability

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symmetry integrability

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MaRDI profile type

MaRDI publication profile

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cites work

Coupled KdV equations derived from two-layer fluids

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Integrable Nonlinear Evolution Partial Differential Equations in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>4</mml:mn><mml:mo>+</mml:mo><mml:mn>2</mml:mn></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>Dimensions

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Method for Solving the Korteweg-deVries Equation

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Integrals of nonlinear equations of evolution and solitary waves

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ON THE APPROXIMATE SOLUTIONS FOR A SYSTEM OF COUPLED KORTEWEG–DE VRIES EQUATIONS WITH LOCAL FRACTIONAL DERIVATIVE

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On the propagation of regularity for solutions of the fractional Korteweg-de Vries equation

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On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane

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Integrable nonlinear Klein-Gordon equations and Toda lattices

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On classes of integrable systems and the Painlevé property

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Q3352574

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New C-integrable and S-integrable systems of nonlinear partial differential equations

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Construction of higher-dimensional nonlinear integrable systems and of their solutions

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The two-dimensional second-order differential spectral problem: compatibility conditions, general BTs and integrable equations

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Multi-component integrable systems and invariant curve flows in certain geometries

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Deformation conjecture: deforming lower dimensional integrable systems to higher dimensional ones by using conservation laws

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Exact solutions to the combined KdV and mKdV equation

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Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion

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Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws

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Evolution equations possessing infinitely many symmetries

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Infinitely many Lax pairs and symmetry constraints of the KP equation

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(2+1)-dimensional (M+N)-component AKNS system: Painlevé integrability, infinitely many symmetries, similarity reductions and exact solutions

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Infinitely many symmetries of the Davey-Stewartson equation

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Modifying Lax equations and the second Hamiltonian structure

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Two finite-dimensional completely integrable Hamiltonian systems associated with the solutions of the MKDV hierarchy

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Symmetries of the KdV equation and four hierarchies of the integrodifferential KdV equations

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Q5457418

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Consistent Riccati Expansion for Integrable Systems

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A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada-Kotera equation

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Plenty of novel interaction structures of soliton molecules and asymmetric solitons to (2 + 1)-dimensional Sawada-Kotera equation

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Fractal solitons, arbitrary function solutions, exact periodic wave and breathers for a nonlinear partial differential equation by using bilinear neural network method

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New \((3+1)\)-dimensional equations of Burgers type and Sharma-Tasso-Olver type: multiple-soliton solutions

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On exact traveling-wave solutions for local fractional Korteweg-de Vries equation

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EXACT TRAVELING-WAVE SOLUTIONS FOR ONE-DIMENSIONAL MODIFIED KORTEWEG–DE VRIES EQUATION DEFINED ON CANTOR SETS

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Identifiers

zbMATH Open document ID

1519.35272

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arXiv ID

2302.05880

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Mathematics Subject Classification ID

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10.1088/1572-9494/ACD99C

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Sitelinks

Mathematics(1 entry)

mardi Publication:6168245