Results 81 to 90 of about 613,197 (287)
A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation
Abstract 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
Journal of Non-linear Mathematical Physics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
A Lax Pair Structure for the Half-Wave Maps Equation
, 2018 We consider the half-wave maps equation ∂tS⃗ =S⃗ ∧|∇|S⃗ , where S⃗ =S⃗ (t,x) takes values on the two-dimensional unit sphere S2 and x∈R (real line case) or x∈T (periodic case).
Lenzmann, Enno +3 more
core +1 more source
Long-time asymptotics for an integrable evolution equation with a 3 x 3 Lax pair
, 2021 We derive a Riemann-Hilbert representation for the solution of an integrable nonlinear evolution equation with a 3 x 3 Lax pair. We use the derived representation to obtain formulas for the long-time asymptotics.
Charlier, Christophe,, Lenells, Jonatan,
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Knee 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
Advances 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
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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)
Zhejiang 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
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Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.Abstract Purpose Posterior tibial slope (PTS) has been implicated in anterior cruciate ligament (ACL) graft failure, but its relationship to objective stability and patient‐reported outcomes (PROs) after primary ACL reconstruction (ACLR) remains unclear. The study evaluated whether higher PTS is associated with laximetry, graft survival, and PROs after
Paul Souvik +5 more
wiley +1 more source
Quantum Toda systems and Lax pairs [PDF]
Communications 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
Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.Abstract Purpose To assess the effect of the knee flexion on the tibial tuberosity–trochlear groove (TT–TG) distance measurement by comparing conventional and whole‐leg rotational magnetic resonance imaging (MRI). Methods This retrospective cohort study included 45 patients with patellar dislocations who had undergone both conventional knee MRI with ...
Chantal Gaudes +6 more
wiley +1 more source