Integrable Kuralay equations: geometry, solutions and generalizations
Z Sagidullayeva, G Nugmanova, R Myrzakulov… - Symmetry, 2022 - mdpi.com
In this paper, we study the Kuralay equations, namely the Kuralay-I equation (K-IE) and the
Kuralay-II equation (K-IIE). The integrable motion of space curves induced by these …
Kuralay-II equation (K-IIE). The integrable motion of space curves induced by these …
An integrable generalization of the D-Kaup–Newell soliton hierarchy and its bi-Hamiltonian reduced hierarchy
M McAnally, WX Ma - Applied Mathematics and Computation, 2018 - Elsevier
We present a new spectral problem, a generalization of the D-Kaup–Newell spectral
problem, associated with the Lie algebra sl (2, R). Zero curvature equations furnish the …
problem, associated with the Lie algebra sl (2, R). Zero curvature equations furnish the …
Finite-dimensional Liouville integrable Hamiltonian systems generated from Lax pairs of a bi-Hamiltonian soliton hierarchy by symmetry constraints
S Manukure - Communications in Nonlinear Science and Numerical …, 2018 - Elsevier
We construct finite-dimensional Hamiltonian systems by means of symmetry constraints from
the Lax pairs and adjoint Lax pairs of a bi-Hamiltonian hierarchy of soliton equations …
the Lax pairs and adjoint Lax pairs of a bi-Hamiltonian hierarchy of soliton equations …
一类广义NLS-MKdV 方程族及其双哈密顿结构
董凤娇， 胡贝贝 - 工程数学学报, 2022 - jgsx-csiam.org.cn
董凤娇1, 胡贝贝2 (1. 滁州学院计算机与信息工程学院, 滁州239000; 2. 滁州学院数学与金融
学院, 滁州239000) 摘要: 从矩阵谱问题出发, 讨论了一类广义NLS-MKdV …
学院, 滁州239000) 摘要: 从矩阵谱问题出发, 讨论了一类广义NLS-MKdV …
Bi-integrable couplings of a new soliton hierarchy associated with a non-semisimple Lie algebra
S Manukure, WX Ma - Applied Mathematics and Computation, 2014 - Elsevier
We construct bi-integrable couplings for a new soliton hierarchy from zero curvature
equations associated with a non-semisimple loop algebra. We demonstrate the Liouville …
equations associated with a non-semisimple loop algebra. We demonstrate the Liouville …
An integrable soliton hierarchy associated with the Boiti–Pempinelli–Tu spectral problem
EA Appiah, S Manukure - Modern Physics Letters B, 2021 - World Scientific
Based on the Tu scheme [G.-Z. Tu, J. Math. Phys. 30 (1989) 330], we construct a counterpart
of the Boiti–Pempinelli–Tu soliton hierarchy from a matrix spectral problem associated with …
of the Boiti–Pempinelli–Tu soliton hierarchy from a matrix spectral problem associated with …
An integrable extension of a soliton hierarchy associated with so (3, ℝ) and its bi-Hamiltonian formulation
S Manukure, WX Ma - Journal of Mathematical Physics, 2015 - pubs.aip.org
A hierarchy of soliton equations is constructed from an extended spectral problem
associated with the three-dimensional special orthogonal real Lie algebra so (3, ℝ) by …
associated with the three-dimensional special orthogonal real Lie algebra so (3, ℝ) by …
[图书][B] Generalized D-Kaup-Newell integrable systems and their integrable couplings and Darboux transformations
MA McAnally - 2017 - search.proquest.com
We present a new spectral problem, a generalization of the D-Kaup-Newell spectral
problem, associated with the Lie algebra sl (2, R). Zero curvature equations furnish the …
problem, associated with the Lie algebra sl (2, R). Zero curvature equations furnish the …
Hamiltonian formulations and symmetry constraints of soliton hierarchies of (1+ 1)-dimensional nonlinear evolution equations
S Manukure - 2016 - search.proquest.com
We derive two hierarchies of 1+ 1 dimensional soliton-type integrable systems from two
spectral problems associated with the Lie algebra of the special orthogonal Lie group SO (3 …
spectral problems associated with the Lie algebra of the special orthogonal Lie group SO (3 …