Weakly nonlinear waves in magnetized plasma with a slightly non-Maxwellian electron distribution. Part 2, Stability of cnoidal waves [PDF]
, 2007 We determine the growth rate of linear instabilities resulting from long-wavelength transverse perturbations applied to periodic nonlinear wave solutions to the Schamel–Korteweg–de Vries–Zakharov–Kuznetsov (SKdVZK) equation which governs weakly nonlinear
Phibanchon, S. +2 more
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Traveling wave solutions of a coupled Schrödinger-Korteweg-de Vries equation by the generalized coupled trial equation method. [PDF]
Heliyon, 2023 Shang J, Li W, Li D.
europepmc +1 more source
Well-posedness of the classical solutions for a Kawahara–Korteweg–de Vries-type equation
, 2021 The Kawahara–Korteweg–de Vries-type equation occurs in the modelization of magneto-acoustic waves in plasmas and propagation of nonlinear water waves in the long-wavelength region as in the case of Korteweg–de Vries equation.
Giuseppe Maria Coclite, Lorenzo di Ruvo
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Soliton solutions to the fifth-order Korteweg–de Vries equation and their applications to surface and internal water waves [PDF]
, 2018 We study solitary wave solutions of the fifth-order Korteweg–de Vries equation which contains, besides the traditional quadratic nonlinearity and third-order dispersion, additional terms including cubic nonlinearity and fifth order linear dispersion, as ...
Matt Tranter (4690576) +11 more
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Exact Travelling-Wave Solutions of the Extended Fifth-Order Korteweg-de Vries Equation via Simple Equations Method (SEsM): The Case of Two Simple Equations. [PDF]
Entropy (Basel), 2022 Nikolova EV.
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The Korteweg-de vries equation and solitons
, 2014 This report presents a comprehensive study on a nonlinear partial differentiation equation (PDE) which is Korteweg-de Vries (KdV) equation. This includes other KdV variations which are Korteweg-de Vries (Cylindrical), Korteweg-de Vries (Generalized ...
Nurul Aliyah Hassim
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Compact schemes for Korteweg-de Vries equation
, 2017 This paper proposes one family of compact schemes for Korteweg-de Vries equation. In the deterministic case, the schemes are convergent with fourth-order accuracy both in space and in time. Moreover, the schemes are stable.
Yan-Qin Liu +3 more
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Hamiltonian formulation for the description of interfacial solitary waves [PDF]
Nonlinear Processes in Geophysics, 1998 We consider solitary waves propagating on the interface between two fluids, each of constant density, for the case when the upper fluid is bounded above by a rigid horizontal plane, but the lower fluid has a variable depth.
R. Grimshaw, S. R. Pudjaprasetya
doaj
Conservative finite volume element schemes for the complex modified Korteweg–de Vries equation
International Journal of Applied Mathematics and Computer Science, 2017 The aim of this paper is to build and validate a class of energy-preserving schemes for simulating a complex modified Korteweg–de Vries equation. The method is based on a combination of a discrete variational derivative method in time and finite volume ...
Yan Jin-Liang, Zheng Liang-Hong
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On The Korteweg-de Vries-kuramoto-sivashinsky Equation
, 2015 Considered herein is the Korteweg-de Vries equation with a Kuramoto- Sivashinsky dissipative term appended. This evolution equation, which arises as a model for a number of interesting physical phenomena, has been extensively investigated in a recent ...
Scialom M. +3 more
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