Results 51 to 60 of about 23,042 (190)
Justification of the NLS Approximation for the KdV Equation Using the Miura Transformation
Advances in Mathematical Physics, 2011 It is the purpose of this paper to give a simple proof of the fact that solutions of the KdV equation can be approximated via solutions of the NLS equation.
Guido Schneider
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Hamiltonian formulation of SL(3) Ur-KdV equation
, 1993 We give a unified view of the relation between the $SL(2)$ KdV, the mKdV, and the Ur-KdV equations through the Fr\'{e}chet derivatives and their inverses.
Chung, B. K., Joo, K. G., Nam, Soonkeon
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Epilepsia, EarlyView.Abstract Consensus‐based recommendations (CBRs) are essential for health care decision‐making when evidence is limited or conflicting. They can be developed using established methodologies such as the Delphi technique, the nominal group technique (NGT), and the RAND Corporation/University of California Los Angeles (UCLA) Appropriateness Method (RAM ...
Rowan Haffner +14 more
wiley +1 more source
Engineering Reports, Volume 8, Issue 2, February 2026.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
Higher Order Modulation Equations for a Boussinesq Equation
, 2002 In order to investigate corrections to the common KdV approximation to long waves, we derive modulation equations for the evolution of long wavelength initial data for a Boussinesq equation.
C. Eugene Wayne +3 more
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Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 818-834, 30 January 2026.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
Soliton solutions to the time-dependent coupled KdV–Burgers’ equation
Advances in Difference Equations, 2019 In this article, the authors apply the Lie symmetry approach and the modified (G′/G) $( G'/G )$-expansion method for seeking the solutions of time-dependent coupled KdV–Burgers equation.
Aisha Alqahtani, Vikas Kumar
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Results in Physics, 2016 We consider the generalized fifth-order KdV type nonlinear evolution equation with variable coefficients. The system technique has been applied rigorously in order to find new exact solutions of the considered equations.
Hyunsoo Kim, Sunmi Lee
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KdV equation under periodic boundary conditions and its perturbations
, 2013 In this paper we discuss properties of the KdV equation under periodic boundary conditions, especially those which are important to study perturbations of the equation. Next we review what is known now about long-time behaviour of solutions for perturbed
Huang, Guan, Kuksin, Sergei
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Advanced Healthcare Materials, Volume 15, Issue 4, 26 January 2026.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