Systematic method of generating new integrable systems via inverse Miura maps (Q5266003)

scientific article; zbMATH DE number 6467706

Language	Label	Description	Also known as
English	Systematic method of generating new integrable systems via inverse Miura maps	scientific article; zbMATH DE number 6467706

Statements

instance of

scholarly article

0 references

title

Systematic method of generating new integrable systems via inverse Miura maps (English)

0 references

author

Takayuki Tsuchida

0 references

published in

Journal of Mathematical Physics

0 references

publication date

29 July 2015

0 references

full work available at URL

https://arxiv.org/abs/1012.2458

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Integrals of nonlinear equations of evolution and solitary waves

0 references

Method for Solving the Korteweg-deVries Equation

0 references

The Korteweg–deVries Equation: A Survey of Results

0 references

Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation

0 references

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

0 references

Q3995225

0 references

Q4866648

0 references

Q4304304

0 references

The problem of integrable discretization: Hamiltonian approach

0 references

Nonlinear-Evolution Equations of Physical Significance

0 references

A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I

0 references

General Derivation of Bäcklund Transformations from Inverse Scattering Problems

0 references

Bäcklund transformations, the inverse scattering method, solitons, and their applications. NSF research workshop on contact transformations

0 references

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

0 references

A connection between nonlinear evolution equations and ordinary differential equations of P-type. II

0 references

Q3672402

0 references

Linear integral equations and multicomponent nonlinear integrable systems. II

0 references

Non-abelian integrable systems of the derivative nonlinear Schrödinger type

0 references

Complete integrability of derivative nonlinear Schrödinger-type equations

0 references

From AKNS to derivative NLS hierarchies via deformations of associative products

0 references

Inverse Method for the Mixed Nonlinear Schrödinger Equation and Soliton Solutions

0 references

An exact solution for a derivative nonlinear Schrödinger equation

0 references

Quadratic bundle and nonlinear equations

0 references

Elementary Bäcklund transformations, nonlinear superposition formulae and algebraic construction of solutions for the nonlinear evolution equations solvable by the Zakharov-Shabat spectral transform

0 references

Homogeneous Manifold, Loop Algebra, Coupled KdV System and Generalised Miura Transformation

0 references

Proliferation scheme for Kaup-Boussinesq system

0 references

Nonlinear evolution equations associated with energy-dependent Schrödinger potentials

0 references

Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method

0 references

The Toda lattice. II. Existence of integrals

0 references

On the Toda Lattice. II: Inverse-Scattering Solution

0 references

Lattice analogues of \(W\)-algebras and classical integrable equations

0 references

Relativistic Toda systems

0 references

Nonlinear differential–difference equations and Fourier analysis

0 references

Q3966539

0 references

On three-dimensional packets of surface waves

0 references

Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method

0 references

BREAKING SOLITONS. IV

0 references

A new family of integrable models in (2+1) dimensions associated with Hermitian symmetric spaces

0 references

Wave solutions of a (2+1)-dimensional generalization of the nonlinear Schr dinger equation

0 references

The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

0 references

The sine-Gordon equations: Complete and partial integrability

0 references

Modified equations, rational solutions, and the Painlevé property for the Kadomtsev–Petviashvili and Hirota–Satsuma equations

0 references

Q4043448

0 references

Bäcklund transformation solutions of the Toda lattice equation

0 references

Bäcklund transformations induced by symmetries

0 references

On vector analogs of the modified Volterra lattice

0 references

SOLITON EIGENFUNCTION EQUATIONS: THE IST INTEGRABILITY AND SOME PROPERTIES

0 references

Q3925229

0 references

On a new hierarchy of Hamiltonian soliton equations

0 references

Classification of polynomial integrable systems of mixed scalar and vector evolution equations: I

0 references

Modified Hamiltonian systems and canonical transformations arising from the relationship between generalized Zakharov–Shabat and energy-dependent Schrödinger operators

0 references

Lectures on the Inverse Scattering Transform

0 references

Long Waves—Short Waves; A Solvable Model

0 references

The general structure of integrable evolution equations

0 references

Modifications of \(k\)-constrained KP hierarchy

0 references

Classical lattice<b><i>W</i></b>algebras and integrable systems

0 references

Hungry Volterra Model and a New Hierarchy of Discrete Models

0 references

Q3679949

0 references

Integrable discretizations of derivative nonlinear Schr dinger equations

0 references

Solutions of matrix NLS systems and their discretizations: a unified treatment

0 references

Nonisospectral scattering problems: A key to integrable hierarchies

0 references

Breaking solitons in 2+1-dimensional integrable equations

0 references

Integrability and a new breed of solitons of an NLS type equation in \(2+1\) dimensions

0 references

Wave Instabilities

0 references

On equations for wave interactions

0 references

Integrable equations in (2+1) dimensions associated with symmetric and homogeneous spaces

0 references

Q4039933

0 references

On the soliton solutions of the Davey-Stewartson equation for long waves

0 references

On integrable two-dimensional generalizations of nonlinear Schrödinger type equations.

0 references

Nonlinear superposition principle for the Jordan NLS equation

0 references

Explicit auto-transformations of integrable chains

0 references

Symmetry approach to the integrability problem

0 references

Method for Generating Discrete Soliton Equations. IV

0 references

To a transformation theory of two-dimensional integrable systems

0 references

Identifiers

zbMATH Open document ID

1317.37080

0 references

DOI

10.1063/1.3563585

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5266003