Results 61 to 70 of about 5,295 (178)
MathematicsThis paper focuses on a high-order Korteweg–de Vries wave equation. The extended F-expansion method, a modified form of Kudryashov’s auxiliary equation approach, is employed to construct Jacobi elliptic function solutions for this equation.
Jiayi Fu, Weixu Ni, Wenxia Chen
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Exact traveling wave solutions to higher order nonlinear equations
Journal of Ocean Engineering and Science, 2019 The present paper applies the new generalized (G′/G)-expansion method on three non-linear equations including the fifth-order Korteweg-de Vries equation, (3+1)-dimensional Modified KdV-Zakharov-Kuznetsov equation, and (3+1)-dimensional Jimbo-Miwa ...
Md Nur Alam, Xin Li
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Critically fixed Thurston maps: classification, recognition, and twisting
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract An orientation‐preserving branched covering map f:S2→S2$f\colon S^2\rightarrow S^2$ is called a critically fixed Thurston map if f$f$ fixes each of its critical points. It was recently shown that there is an explicit one‐to‐one correspondence between Möbius conjugacy classes of critically fixed rational maps and isomorphism classes of planar ...
Mikhail Hlushchanka, Nikolai Prochorov
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The Extended Korteweg-de Vries Equation
, 1982 A slight and natural extension of the traditional Korteweg-de Vries equation (KdV) allows all (or groups) of its solitons to have the same velocity thus facilitating the application of the KdV to realistic quantum mechanical ...
Hefter, E.F.
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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
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White Noise Driven Korteweg–de Vries Equation
, 1999 We consider a stochastic Korteweg–de Vries equation on the real line. The noise is additive. We use function spaces similar to those introduced by Bourgain to prove well posedness results for the Korteweg–de Vries equation in L2(R). We are able to handle
de Bouard, A. +2 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
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Quantifying Suspended Sediment Dynamics Under Energetic Nonlinear Internal Waves of Depression
Geophysical Research Letters, Volume 53, Issue 1, 16 January 2026.Abstract While nonlinear internal wave (NLIW) trains are known to influence near‐sea bed suspended sediment dynamics, the mechanisms remain a topic of debate. We present near‐sea bed observations of suspended sediment concentration C $C$ and estimates of vertical sediment flux, at high vertical‐ and temporal‐resolution, during trains of NLIW of ...
W. C. Edge +4 more
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On the Stochastic Korteweg–de Vries Equation
, 1998 We consider a stochastic Korteweg–de Vries equation forced by a random term of white noise type. This can be a model of water waves on a fluid submitted to a random pressure.
de Bouard, A, Debussche, A
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Symmetries for the Semi-Discrete Lattice Potential Korteweg–de Vries Equation
MathematicsIn this paper, we prove that the isospectral flows associated with both the x-part and the n-part of the Lax pair of the semi-discrete lattice potential Korteweg–de Vries equation are symmetries of the equation.
Junwei Cheng, Xiang Tian
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