Novel Liouville integrable Hamiltonian models with six components and three signs (Q6543459)

scientific article; zbMATH DE number 7853145

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English	Novel Liouville integrable Hamiltonian models with six components and three signs	scientific article; zbMATH DE number 7853145

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instance of

scholarly article

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title

Novel Liouville integrable Hamiltonian models with six components and three signs (English)

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author

Wen-Xiu Ma

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published in

Chinese Journal of Physics (Taipei)

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publication date

24 May 2024

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zbMATH Keywords

matrix spectral problem

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zero curvature equation

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integrable hierarchy NLS equations

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mKdV equations

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MaRDI profile type

Publication

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cites work

Integrals of nonlinear equations of evolution and solitary waves

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Q3925229

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On Liouville integrability of zero-curvature equations and the Yang hierarchy

0 references

Q4016078

0 references

The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

0 references

Coupled KdV equations with multi-Hamiltonian structures

0 references

A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations

0 references

Finite-dimensional Liouville integrable hamiltonian systems generated from Lax pairs of a bi-Hamiltonian soliton hierarchy by symmetry constraints

0 references

Multi-component generalized Gerdjikov-Ivanov integrable hierarchy and its Riemann-Hilbert problem

0 references

Application of Riemann-Hilbert method to an extended coupled nonlinear Schrödinger equations

0 references

A Hamiltonian structure associated with a matrix spectral problem of arbitrary-order

0 references

A soliton hierarchy associated with a spectral problem of 2nd degree in a spectral parameter and its bi-Hamiltonian structure

0 references

Integrable nonlocal nonlinear Schrödinger equations associated with 𝑠𝑜(3,ℝ)

0 references

Integrable couplings of two expanded non-isospectral soliton hierarchies and their bi-Hamiltonian structures

0 references

A multi-component integrable hierarchy and its integrable reductions

0 references

An exact solution for a derivative nonlinear Schrödinger equation

0 references

New Integrable Nonlinear Evolution Equations

0 references

A soliton hierarchy associated with $\mathrm{so}(3,\mathbb R)$

0 references

A spectral problem based on so$(3,\mathbb {R})$(3,R) and its associated commuting soliton equations

0 references

An integrable $\text{SO}(3,\mathbb{R})$-counterpart of the Heisenberg soliton hierarchy

0 references

Symplectic structures, their Bäcklund transformations and hereditary symmetries

0 references

Reduced non-local integrable NLS hierarchies by pairs of local and non-local constraints

0 references

Sasa-Satsuma type matrix integrable hierarchies and their Riemann-Hilbert problems and soliton solutions

0 references

Four-component integrable hierarchies of Hamiltonian equations with $(m+n+2)$th-order Lax pairs

0 references

A simple model of the integrable Hamiltonian equation

0 references

The algebraic structure of zero curvature representations and application to coupled KdV systems

0 references

Q3732103

0 references

A dressing method in mathematical physics.

0 references

Q4002235

0 references

A vector general nonlinear Schrödinger equation with $(m+n)$ components

0 references

Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions

0 references

Symmetries for exact solutions to the nonlinear Schrödinger equation

0 references

Burgers hierarchy: multiple kink solutions and multiple singular kink solutions

0 references

Complexiton solutions to the asymmetric Nizhnik–Novikov–Veselov equation

0 references

Dynamics of lump collision phenomena to the (3+1)-dimensional nonlinear evolution equation

0 references

Rogue waves of the coupled modified nonlinear Schrödinger equations

0 references

Two-component complex modified Korteweg–de Vries equations: New soliton solutions from novel binary Darboux transformation

0 references

AKNS type reduced integrable bi-Hamiltonian hierarchies with four potentials

0 references

Four-component integrable hierarchies and their Hamiltonian structures

0 references

Multi-component integrable couplings for the Ablowitz-Kaup-Newell-Segur and Volterra hierarchies

0 references

A new multi-component integrable coupling and its application to isospectral and nonisospectral problems

0 references

Integrable nonlocal nonlinear Schrödinger hierarchies of type $(-\lambda*,\lambda)$ and soliton solutions

0 references

Soliton solutions to constrained nonlocal integrable nonlinear Schrödinger hierarchies of type (−λ,λ)

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Identifiers

zbMATH Open document ID

1546.37114

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DOI

10.1016/j.cjph.2023.09.023

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6543459