Results 81 to 90 of about 4,590 (301)

Quantum Toda systems and Lax pairs [PDF]

open access: yesCommunications in Mathematical Physics, 1987
Using the \({\mathbb{P}}\) operator [cf. \textit{L. D. Faddeev}, Integrable models in \((1+1)\)-dimensional quantum field theory, in ``Développements Récents en Théorie des Champs et Mécanique Statistique/Recent Advances in Field Theory and Statistical Mechanics'', Les Houches, Session XXXIX, 2 Août-10 Septembre 1982, J.-B. Zuber and R.
openaire   +2 more sources

Integrable Hamiltonian systems and the Lax pair formalism

open access: yes, 1982
The Lax pair formalism for finite degree-of-freedom Hamiltonian systems is extended to include systems for which the eigenvalues of the operator are degenerate.
Chen, H. H., Lee, Y. C., Menyuk, Curtis
core   +1 more source

Step‐by‐step insight into gait analysis: A narrative review unlocking knee biomechanics

open access: yesKnee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Gait analysis offers a powerful tool for clinical and orthopaedic decision‐making. By quantifying spatiotemporal, kinematic and kinetic parameters during walking, it provides a dynamic window into joint function that static imaging cannot capture.
Giovanni Spallone   +9 more
wiley   +1 more source

A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation

open access: yesAbstract and Applied Analysis, 2014
We introduce two subequations with different independent variables for constructing exact solutions to nonlinear partial differential equations. In order to illustrate the efficiency and usefulness, we apply this method to 2+1-dimensional KdV equation ...
Zhen Wang, Li Zou, Zhi Zong, Hongde Qin
doaj   +1 more source

Universal Lax Pair for Generalised CalogerosMoser Models

open access: yesJournal of Non-linear Mathematical Physics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Integrability of Kersten–Krasil’shchik coupled KdV–mKdV equations: singularity analysis and Lax pair

open access: yes, 2003
The integrability of a coupled KdV-mKdV system is tested by means of singularity analysis. The true Lax pair associated with this system is obtained by the use of prolongation technique.
Sakovich, SY   +7 more
core   +1 more source

Proximal anatomical axes show bidirectional variability: Accurate tibial slope requires mechanical axis measurement

open access: yesKnee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Purpose To determine whether posterior tibial slope (PTS) measured to proximal anatomical axes can serve as a reliable proxy for PTS measured to the mechanical tibial axis (mTA). Methods In patients ≥18 years with failed anterior cruciate ligament reconstruction, medial and lateral PTS were measured relative to the mTA on a lateral lower‐leg ...
Barbara C. Boer   +6 more
wiley   +1 more source

Some invariant solutions and conservation laws of a type of long-water wave system

open access: yesAdvances in Difference Equations, 2019
We propose a generalized long-water wave system that reduces to the standard water wave system. We also obtain the Lax pair and symmetries of the generalized shallow-water wave system and single out some their similarity reductions, group-invariant ...
Xiangzhi Zhang, Yufeng Zhang
doaj   +1 more source

Soliton solution of the nonlinear Schrodinger equation with houndary conditions(带边界的非线性薛定锷方程的孤立子解)

open access: yesZhejiang Daxue xuebao. Lixue ban, 2001
本文用构造Lax Pair的方法,得到对于光纤通讯系统有重要意义的非线性薛定锷(NLS)方程的可积边界条件,然后求得满足可积边界条件时的1-孤立子解和2-孤立子解.
HONGTao(洪涛)   +1 more
doaj   +1 more source

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