Results 21 to 30 of about 211 (181)
On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on ℝN
Advances in Nonlinear Analysis, 2021 We are devoted to the study of a semilinear time fractional Rayleigh-Stokes problem on ℝN, which is derived from a non-Newtonain fluid for a generalized second grade fluid with Riemann-Liouville fractional derivative.
He Jia Wei +3 more
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Nonlocal PT-symmetric integrable equations and related Riemann–Hilbert problems
Partial Differential Equations in Applied Mathematics, 2021 We aim to discuss about how to construct and classify nonlocal PT-symmetric integrable equations via nonlocal group reductions of matrix spectral problems.
Wen-Xiu Ma
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Integrable nonlinear equations and Liouville's theorem, I [PDF]
Communications in Mathematical Physics, 1981 A symplectic structure is constructed and the Liouville integration carried out for a stationary Lax equation [L, P]=0, whereL is a scalar differential operator of an arbitrary order.nth order operators are included into the variety of first-order matrix operators, and properties of this inclusion are studied.
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A Hierarchy of Discrete Integrable Coupling System with Self-Consistent Sources
Journal of Applied Mathematics, 2014 Integrable coupling system of a lattice soliton equation hierarchy is deduced. The Hamiltonian structure of the integrable coupling is constructed by using the discrete quadratic-form identity.
Yuqing Li, Huanhe Dong, Baoshu Yin
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Karpatsʹkì Matematičnì Publìkacìï, 2015 The possibility of applying the method of reducing upon finite-dimensional invariant subspaces, generated by the eigenvalues of the associated spectral problem, to some two-dimensional generalization of the relativistic Toda lattice with the triple ...
O.Ye. Hentosh
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Bifurcation Diagram of the Model of a Lagrange Top with a Vibrating Suspension Point
Mathematics, 2023 The article considers a model system that describes a dynamically symmetric rigid body in the Lagrange case with a suspension point that performs high-frequency oscillations. This system, reduced to axes rigidly connected to the body, after the averaging
Pavel E. Ryabov, Sergei V. Sokolov
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A 4 × 4 Matrix Spectral Problem Involving Four Potentials and Its Combined Integrable Hierarchy
AxiomsThis paper introduces a specific matrix spectral problem involving four potentials and derives an associated soliton hierarchy using the zero-curvature formulation.
Wen-Xiu Ma, Ya-Dong Zhong
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Advances in Mathematical Physics, 2016 Associated with so~(3,R), a new matrix spectral problem of 2nd degree in a spectral parameter is proposed and its corresponding soliton hierarchy is generated within the zero curvature formulation.
Yuqin Yao, Shoufeng Shen, Wen-Xiu Ma
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Liouville integrable binomial Hamiltonian system
Journal of Physics: Conference Series, 2023 Abstract In this study, we work on a novel Hamiltonian system which is Liouville integrable. In the integrable Hamiltonian model, conserved currents can be represented as Binomial polynomials in which each order corresponds to the integral of motion of the system.
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Explicit Solutions and Conservation Laws for a New Integrable Lattice Hierarchy
Complexity, 2019 An integrable lattice hierarchy is derived on the basis of a new matrix spectral problem. Then, some properties of this hierarchy are shown, such as the Liouville integrability, the bi-Hamiltonian structure, and infinitely many conservation laws.
Qianqian Yang, Qiulan Zhao, Xinyue Li
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