Fully Discrete Galerkin Methods for the Korteweg-de Vries Equation
Bona, J.L.. (1985). Fully Discrete Galerkin Methods for the Korteweg-de Vries Equation.
Bona, J.L.
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Power series solution for the modified KdV equation
We use the method developed by Christ [3] to prove local well-posedness of a modified Korteweg de Vries equation in $mathcal{F}L^{s,p}$ spaces.
Tu Nguyen
doaj
Cylindrical nonlinear Schroedinger equation versus cylindrical Korteweg-de Vries equation
A correspondence between the family of cylindrical nonlinear Schrodinger (cNLS) equations and the one of cylindrical Korteweg-de Vries (cKdV) equations is constructed.
D. Grecu +4 more
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Efficient simulation of Time-Fractional Korteweg-de Vries equation via conformable-Caputo non-Polynomial spline method. [PDF]
Yousif MA +3 more
europepmc +1 more source
An Unconventional Splitting for Korteweg de Vries-Burgers Equation
Numerical solutions of the Korteweg de Vries-Burgers (KdVB) equation based on splitting is studied. We put a real parameter into a KdVB equation and split the equation into two parts.
Aydin, A.
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Mathematical Formulation of Inverse Scattering and Korteweg-De Vries Equation
Inverse scattering refers to the determination of the solutions of a set of differential equations based on known asymptotic solutions, that is, the solution of Marchenko equation. Marchenko equation was derived using integral equation.
Saha, Bijan Krishna +2 more
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Optical soliton wave profiles for the (2 + 1)-dimensional complex modified Korteweg-de Vries system with the impact of fractional derivative via analytical approach. [PDF]
Khan MI +6 more
europepmc +1 more source
Effects of Nonextensive Electrons on Dust-Ion Acoustic Waves in a Collisional Dusty Plasma with Negative Ions. [PDF]
Liu Z.
europepmc +1 more source
Two- and three-soliton solutions to one equation of the Korteweg-de Vries type
In 1895 two Netherlandish applied mathematicians Korteweg and de Vries made a breakthrough in physics: they introduced a nonlinear partial differential equation describing motion of truly magic water wave, which is now called the Korteweg-de Vries ...
Tsukanova, A. O.
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New analytical wave solutions for the gardner equation via the Riccati-modified extended simple equation method. [PDF]
Jawarneh Y +5 more
europepmc +1 more source

