A new soliton hierarchy associated with \(\mathrm{so} (3, \mathbb R)\) and its conservation laws
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Publication:1793034
DOI10.1155/2016/3682579zbMath1400.37082OpenAlexW2464040222WikidataQ59130911 ScholiaQ59130911MaRDI QIDQ1793034
Guo-Liang He, Tie-cheng Xia, Han-yu Wei
Publication date: 12 October 2018
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2016/3682579
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hyperbolic conservation laws (35L65) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton solutions (35C08)
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Cites Work
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- Integrable theory of the perturbation equations.
- Semi-direct sums of Lie algebras and continuous integrable couplings
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Relationship between symmetries and conservation laws
- Hamiltonian and super-Hamiltonian extensions related to Broer-Kaup-Kupershmidt system
- Lagrangian approach to evolution equations: symmetries and conservation laws
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
- On Liouville integrability of zero-curvature equations and the Yang hierarchy
- Application of hereditary symmetries to nonlinear evolution equations
- A simple model of the integrable Hamiltonian equation
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- Direct construction method for conservation laws of partial differential equations Part II: General treatment
- A spectral problem based on so$(3,\mathbb {R})$(3,R) and its associated commuting soliton equations
- Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
- An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems
