Results 71 to 80 of about 23,042 (190)

Jordan Manifolds and Dispersionless KdV Equations [PDF]

Journal of Nonlinear Mathematical Physics, 2000
Multicomponent KdV-systems are defined in terms of a set of structure constants and, as shown by Svinolupov, if these define a Jordan algebra the corresponding equations may be said to be integrable, at least in the sense of having higher-order symmetries, recursion operators and hierarchies of conservation laws. In this paper the dispersionless limits
openaire   +3 more sources

An Optimized Block Hybrid Spectral Simple Iteration Methods for Solving Nonlinear Evolution Equations

International Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.
ABSTRACT This study presents a new optimized block hybrid method and spectral simple iteration method (OBHM‐SSIM) for solving nonlinear evolution equations. In this method, we employed a combination of the spectral collocation method in space and the optimized block hybrid method in time, along with a simple iteration scheme to linearize the equations.
Salma Ahmedai, Precious Sibanda, Sandile Motsa, Sicelo Goqo, Osman A. I. Noreldin   +4 more
wiley   +1 more source

Painlevé integrability and multiple soliton solutions for the extensions of the (modified) Korteweg-de Vries-type equations with second-order time-derivative

Alexandria Engineering Journal
This work introduces two (3+1)-dimensional expansions of the Korteweg–de Vries (KdV) and modified KdV (mKdV) equations. These extensions incorporate a second-order time-derivative term, similar to the Boussinesq equation. The Painlevé test is utilized to
Abdul-Majid Wazwaz, Weaam Alhejaili, R.T. Matoog, S.A. El-Tantawy   +3 more
doaj   +1 more source

Loop groups and equations of KdV type [PDF]

Publications mathématiques de l'IHÉS, 1985
This paper deals with a construction of solutions of KdV-type equations through infinite dimensional Grassmannian constructions initiated by M. Sato. \textit{M. Sato} and \textit{Y. Sato} [Nonlinear partial differential equations in applied science, Proc. U.S.-Jap. Semin., Tokyo 1982, North-Holland Math. Stud.
Segal, G, Wilson, G
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Physically Guided GAN‐Based Super Resolution of Buoy Observations for Internal Solitary Waves

Journal of Geophysical Research: Machine Learning and Computation, Volume 2, Issue 4, December 2025.
Abstract Accurate monitoring of internal solitary waves (ISWs) is crucial for understanding their influence on ocean mixing and energy transfer. Satellite observations offer a powerful tool for large‐scale ISW monitoring, but they mainly detect surface signatures and thus require nearby in situ measurements for validation and amplitude estimation ...
Xudong Zhang, Yinfei Zhou, Chunlin Ning, Xiaofeng Li   +3 more
wiley   +1 more source

On the deep‐water and shallow‐water limits of the intermediate long wave equation from a statistical viewpoint

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley   +1 more source

Bilinear Approach to Supersymmetric KdV Equation [PDF]

Journal of Non-linear Mathematical Physics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Predicting Systemic and Liver Bosentan Exposure Using Physiologically‐Based Pharmacokinetic Modeling

CPT: Pharmacometrics &Systems Pharmacology, Volume 14, Issue 10, Page 1715-1726, October 2025.
ABSTRACT Bosentan is the first approved oral medication for pulmonary arterial hypertension, yet the black‐box warning on its labeling implies a substantial risk of liver injury associated with bosentan exposure. The risk assessment of bosentan‐induced liver injury requires a thorough understanding of the underlying mechanisms, for which there is ...
Miao‐Chan Huang, Julia Macente, Sofie Heylen, Chen Ning, Kristof De Vos, Neel Deferm, Pieter Annaert   +6 more
wiley   +1 more source

Time-Fractional KdV Equation: Formulation and Solution using Variational Methods

, 2011
In this work, the semi-inverse method has been used to derive the Lagrangian of the Korteweg-de Vries (KdV) equation. Then, the time operator of the Lagrangian of the KdV equation has been transformed into fractional domain in terms of the left-Riemann ...
A. A. Mahmoud, A. Babakhani, A.A. Kilbas, D. Baleanu, D. Baleanu, D. Baleanu, D. Baleanu, D. Delbosco, D.J. Korteweg, E. M. Abulwafa, E.M. Rabei, F. Riewe, F. Riewe, G.S.F. Frederico, H. Bateman, I. Podlubny, J.-H. He, J.-H. He, J.-H. He, J.-H. He, J.-H. He, J.A. Tenreiro Machado, M. A. Zahran, M. Attari, M. Inokuti, M.A.E. Herzallah, M.K. Fung, M.S. Tavazoei, N. Heymans, O.P. Agrawal, O.P. Agrawal, O.P. Agrawal, O.P. Agrawal, R.V. Mendes, R.Y. Molliq, S. A. El-Wakil, S. Momani, S. Saha Ray, S.G. Samko, S.I. Muslih, S.Q. Zhang, V.E. Tarasov, V.E. Tarasov, Y. Luchko   +43 more
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The Perceptions of Male Accessibility to the Fields of Nursing Practice by Those Studying or Teaching Nursing in England: Cross‐Sectional Survey

Journal of Advanced Nursing, Volume 81, Issue 10, Page 6452-6467, October 2025.
ABSTRACT Aims Investigate the perception of male accessibility to the fields of nursing practice by those studying or teaching nursing in England. Design Cross‐sectional survey. Methods Online questionnaire with three closed‐scale questions and two open‐text questions designed to elicit perceptions on the accessibility of men to the fields of nursing ...
Daniel Carter, Lucian Hadrian Milasan, Andrew Clifton, George Mcgill, Julian Stribling, Kay De Vries   +5 more
wiley   +1 more source