Results 91 to 100 of about 4,529 (186)
On the Stability of Periodic Multi-Solitons of the KdV Equation. [PDF]
Commun Math Phys, 2021 Kappeler T, Montalto R.
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, 1995 It is shown that the initial value problem (IVP) of the generalized KdV equation @ t u + @ x (a(u)) + @ 3 x u = 0; u(x; 0) = OE(x) is well posed in the classical Sobolev space H s (R) with s ? 3=4, which thus establishes a nonlinear map K from H s
Bing-yu Zhang +2 more
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Soliton solutions to KdV equation with spatio-temporal dispersion
, 2016 This paper discusses a soliton solution that is of a different structure than that is usually known. The equation with spatio-temporal dispersion is studied in this paper both analytically and numerically.
Biswas, Anjan +3 more
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A Refined Well-Posedness Result for the Modified KdV Equation in the Fourier-Lebesgue Spaces. [PDF]
J Dyn Differ Equ, 2023 Chapouto A.
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The method of Mn-extension: the KdV equation
In this work we generalize $M_2$-extension that has been introduced recently. For illustration we use the KdV equation. We present five different M3-extensions of the KdV equation and their recursion operators.
Gürses, Metin +2 more
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, 2010 The 'tanh-coth expansion method' for finding solitary travelling-wave solutions to nonlinear evolution equations has been used extensively in the literature. It is a natural extension to the basic tanh-function expansion method which was developed in the
Parkes, E.J.
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Solitary wave solutions of two KdV-type equations
Open Physics, 2018 The present paper investigates the solitary wave solutions of the nonlinear evolution equations with power nonlinearties. The study has been carried out for two examples of KdV-type equations, namely, the nonlinear dispersive equation and the generalised
Al-Ghafri Khalil Salim
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Rosenau-KdV Equation Coupling with the Rosenau-RLW Equation: Conservation Laws and Exact Solutions
, 2017 We compute the conservation laws for the Rosenau-Kortweg de Vries equation coupling with the Regularized Long-Wave equation using Noether’s approach through a remarkable method of increasing the order of the Rosenau-KdV-RLW equation.
Adem, Abdullahi Rashid +3 more
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Analytical solutions for the forced KdV equation with variable coefficients
Frontiers in PhysicsThis paper focuses on obtaining the exact solutions to the variable-coefficient forced Korteweg-de Vries (KdV) equation for modeling spatial inhomogeneity in fluids.
Ji Wang, Jia Fu, Jialin Dai
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Soliton solutions of KdV equation
, 2010 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern ...
Siti Aishah, Hashim Ali, Prof. +1 more
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