From decoupled integrable models to coupled ones via a deformation algorithm*

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

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Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation
Gauge symmetry in background charge conformal field theory
Duality of positive and negative integrable hierarchies via relativistically invariant fields
Linear superposition in the general heavenly equation
Elliptic solutions of Boussinesq type lattice equations and the elliptic \(N\)th root of unity
Solutions to ABS Lattice Equations via Generalized Cauchy Matrix Approach
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
Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
The relations among a special type of solutions in some (D+1)-dimensional nonlinear equations
Fujimoto-Watanabe equations and differential substitutions
Deformations of the Riccati equation by using Miura-type transformations
Infinitely many Lax pairs and symmetry constraints of the KP equation
Generalized symmetries and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">w</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>algebras in three-dimensional Toda field theory
Searching for Higher Dimensional Integrable Models from Lower Ones via Painlevé Analysis
Method for Solving the Korteweg-deVries Equation
Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
Self-dual Einstein spaces and the general heavenly equation. Eigenfunctions as coordinates
Bilinearization ofN= 1 supersymmetric Korteweg–de Vries equation revisited
Invariant Functions, Symmetries and Primary Branch Solutions of First Order Autonomous Systems
Decompositions and linear superpositions of B‐type Kadomtsev‐Petviashvili equations
A novel \((2 + 1)\)-dimensional nonlinear Schrödinger equation deformed from \((1 + 1)\)-dimensional nonlinear Schrödinger equation
Deformation conjecture: deforming lower dimensional integrable systems to higher dimensional ones by using conservation laws

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