Journal of Nonlinear Mathematical Physics

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Lax Pairs, Painlevé Properties and Exact Solutions of the Calogero Korteweg-de Vries Equation and a New (2 + 1)-Dimensional Equation
Journal of Nonlinear Mathematical Physics - Tập 7 Số 1 - Trang 1
Yu Su, Kouichi Toda
On Decomposition of the ABS Lattice Equations and Related Bäcklund Transformations
Journal of Nonlinear Mathematical Physics - Tập 25 Số 1 - Trang 34
Danda Zhang
On the Structure of the Bäcklund Transformations for the Relativistic Lattices
Journal of Nonlinear Mathematical Physics - Tập 7 - Trang 34-56 - 2000
Vsevolod E. Adler
The Bäcklund transformations for the relativistic lattices of the Toda type and their discrete analogues can be obtained as the composition of two duality transformations. The condition of invariance under this composition allows to distinguish effectively the integrable cases. Iterations of the Bäcklund transformations can be described in the terms of nonrelativistic lattices of the Toda type. Se...... hiện toàn bộ
Solutions of Adler's Lattice Equation Associated with 2-Cycles of the Bäcklund Transformation
Journal of Nonlinear Mathematical Physics -
James Atkinson, F.W. Nijhoff
Regularity Criterion for a Two Dimensional Carreau Fluid Flow
Journal of Nonlinear Mathematical Physics -
José Luis Díaz Palencia, Saeed Ur Rahman, Masood Khan, Guang‐Zhong Yin
AbstractCarreau fluids are a source of research from both theoretical and applied approaches. They have been considered to model different non-newtonian phenomena such as blood flow, plasma and viscoeslastic materials. The purpose of this study is to develop the global regularity criteria for a Carreau fluid in two dimensions flowing in a strip. Firstly, a regulari...... hiện toàn bộ
Hom-Lie Algebras and a Coupled Toda Equation with Indefinite Matrices
Journal of Nonlinear Mathematical Physics - Tập 29 - Trang 896-904 - 2022
Xiao Bi, Chuanzhong Li
In this paper, we study one parameter deformation of a coupled Toda equation with indefinite matrices basing on the theory of Hom-Lie algebras. We construct a Miura transformation between the coupled Toda equation with indefinite matrices and the deformed coupled Toda equation with indefinite matrices. The Miura transformation can help us in deriving the solutions of the deformed coupled Toda equa...... hiện toàn bộ
Derivation of asymptotical formulas for resolution of systems of differential equations with symmetrical matrices
Journal of Nonlinear Mathematical Physics - Tập 3 - Trang 463-467 - 1996
M. I. Shkil’, P. F. Samusenko
Asymptotic formulae for resolution of L-diagonal systems of ordinary differential equations with symmetrical matrices are derived.
Frequency and Amplitude Identification of Weak Signal Based on the Limit System of Smooth and Discontinuous Oscillator
Journal of Nonlinear Mathematical Physics - Tập 29 - Trang 264-279 - 2022
Haiping Li, Ruilan Tian, Xiaolong Zhang, Xinwei Yang
In this paper, a new method is proposed to identify the frequency and amplitude of weak signals by using a non-smooth system. The variable scale limit system of smooth and discontinuous (SD) oscillator without considering the phase is adopted as the identification system. By using the non-smooth stochastic subharmonic-like Melnikov method, an analytical expression of chaotic threshold under Gaussi...... hiện toàn bộ
Coupling Vibration Model of Submerged Floating Tunnel in Space
Journal of Nonlinear Mathematical Physics - Tập 29 - Trang 244-263 - 2022
Li Changzhao, Zhang Mengying, Liu Liquan, Cheng Yu, Han Fei, Zang Jubao
Submerged floating tunnel is a new type of traffic building structure under water surface which can span various water courses. The structure has the characteristics of high flexibility and low damping so that vibration problems would be caused by hydrodynamic excitation. Long-term vibration problems could affect the safety and durability of the structure. Therefore, it is necessary to accurately ...... hiện toàn bộ
Approximate Partial Noether Operators of the Schwarzschild Spacetime
Journal of Nonlinear Mathematical Physics - - 2021
Ibrar Hussain, F. M. Mahomed, Asghar Qadir
The objective of this paper is twofold: (a) to find a natural example of a perturbed Lagrangian that has different partial Noether operators with symmetries different from those of the underlying Lagrangian. First we regard the Schwarzschild spacetime as a perturbation of the Minkowski space-time and investigate the approximate partial Noether operators for this perturbed spacetime. It is shown th...... hiện toàn bộ
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