Results 331 to 340 of about 4,761,670 (353)

A NEW EXPANDING INTEGRABLE HIERARCHY OF KAUP–NEWELL HIERARCHY

Modern Physics Letters B, 2006
A higher loop algebra is constructed which is devoted to establish an isospectral Lax pair. Integrable coupling of the well-known Kaup–Newell hierarchy is obtained by using a relation of direct sum between two sub-algebras. As in the reduction case, an integrable coupling of a generalized MKdV equation is presented. The approach presented in the paper
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Integrable Hierarchy from Topological Gauge Theory

International Journal of Modern Physics A, 1997
By the recursion operator of nonlinear Schrödinger hierarchy, integrable models in 1+1 dimensions are related to the hierarchy of U(1) invariant gauge fixing constraints for the BF gauge theory. The loop algebra structure for the related linear problem with the spectral parameter as a constant valued, zero-strength gauge degree of freedom is derived.
Lee, Jyh-Hao, Pashaev, Oktay K.
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Four-component integrable hierarchies of Hamiltonian equations with ( $$m+n+2$$ )th-order Lax pairs

Theoretical and mathematical physics, 2023
Wenlong Ma
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Sasa–Satsuma type matrix integrable hierarchies and their Riemann–Hilbert problems and soliton solutions

Physica A: Statistical Mechanics and its Applications, 2023
W. Ma
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Modified bosonic integrable hierarchy

Journal of Geometry and Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuanyuan Zhang, Jipeng Cheng, Shoufeng Shen, Juan Hu   +3 more
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Four-component integrable hierarchies and their Hamiltonian structures

Communications in nonlinear science & numerical simulation, 2023
W. Ma
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A Scheme for Generating Nonisospectral Integrable Hierarchies and Its Related Applications

Acta Mathematica Sinica. English series, 2021
Yu Zhang, Xiangzhi Zhang
semanticscholar   +1 more source

SUPER INTEGRABLE HIERARCHY AND SUPER HAMILTONIAN STRUCTURES ASSOCIATED WITH GUO HIERARCHY

Modern Physics Letters B, 2009
A Lie superalgebra is constructed from which establishes an isospectral problems. By solving the zero curvature equation, a resulting super hierarchies of the Guo hierarchy are obtained. By making use of the super identity, the Hamiltonian structures of the above super integrable hierarchies are generated, this method can be used to other ...
Zhang, Ning, Dong, Huanhe
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Bihamiltonian Cohomologies and Integrable Hierarchies I: A Special Case

, 2012
We present some general results on properties of the bihamiltonian cohomologies associated to bihamiltonian structures of hydrodynamic type, and compute the third cohomology for the bihamiltonian structure of the dispersionless KdV hierarchy.
Si‐Qi Liu, You-jin Zhang
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Integrability Criterion of Geodesical Equivalence. Hierarchies

Acta Applicandae Mathematica, 1999
The subject of geodesically equivalent Riemannian metrics, i.e., metrics with the same geodesic lines, has a long history, beginning with \textit{U. Dini} [Brioschi Ann. (2) III, 269-294 (1870; JFM 02.0622.02)]. Because Riemannian metrics are produced by Hamiltonians in a straightforward manner, it results that the implications of geometry of such ...
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