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Solitary waves and shock waves for double-layered fluid flow with dispersion triplet: Zaremaoghaddam and Gear–Grimshaw models (KdV equation)

open access: yesBeni-Suef University Journal of Basic and Applied Sciences
Background The Zaremaoghaddam model studies internal waves, fluid dynamics, and nonlinear wave equations. In shallow water, internal solitons, or stratified fluids, the procedure may involve modifying or applying nonlinear wave models like Korteweg–de ...
Lakhveer Kaur   +7 more
doaj   +1 more source

Power series solution for the modified KdV equation

open access: yesElectronic Journal of Differential Equations, 2008
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  

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