Results 71 to 80 of about 3,516,005 (280)
Jordan Manifolds and Dispersionless KdV Equations [PDF]
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
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Robot‐Assisted Reconstruction and Control of the Pechmann Reaction Network
Using an in‐house built robotic platform, we systematically explored the classic Pechmann reaction across a wide range of reaction conditions, uncovering a rich and previously unexplored network of reactivity. This approach led to the discovery of 11 novel products, including rare benzofurans formed through non‐classical pathways.
Bibek Prajapati +8 more
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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 +3 more
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Loop groups and equations of KdV type [PDF]
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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This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad +3 more
wiley +1 more source
Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain
ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado +2 more
wiley +1 more source
Mixed Rational Lump-Solitary Wave Solutions to an Extended (2+1)-Dimensional KdV Equation [PDF]
Zhigang Yao, Huayong Xie, Hui Jie
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Bilinear Approach to Supersymmetric KdV Equation [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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This study introduces the first miniaturized, patient‐specific carotid artery model created via 3D printing using GelMA with embedded vascular cells. Combining CFD, PIV, and flow perfusion, the model replicates anatomically dependent hemodynamics and cellular responses.
Jorge A. Catano +7 more
wiley +1 more source
Existence of Solitary Waves in a Perturbed KdV-mKdV Equation
In this paper, we establish the existence of a solitary wave in a KdV-mKdV equation with dissipative perturbation by applying the geometric singular perturbation technique and Melnikov function.
Chengqun Li, Minzhi Wei, Yuanhua Lin
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