Application scope of the reductive perturbation method to derive the KdV equation and CKdV equation in dusty plasma
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Plasma Physics"
DOI: 10.1017/s0022377823000296
Abstract: The application scopes of two different reductive perturbation methods to derive the Korteweg–de Vries (KdV) equation and coupled KdV (CKdV) equation in two-temperature-ion dusty plasma are given by using the particle-in-cell (PIC) numerical method in… read more here.
Keywords: kdv; equation; reductive perturbation; kdv equation ... See more keywords
A complex solution to (3+1)-dimensional KdV and (3+1)-dimensional KdV-Burger equations in bubbly liquid
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Interdisciplinary Mathematics"
DOI: 10.1080/09720502.2019.1675569
Abstract: Abstract In this paper, we use secant hyperbolic ansatz with tanh-coth method, combined with Riccati equation to derive complex travelling wave solutions to the (3+1)-dimensional Korteweg-de-Vries (KdV) and (3+1)-dimensional KdV-Burgers equations. Both the complex solitary… read more here.
Keywords: equation; solution dimensional; dimensional kdv; kdv dimensional ... See more keywords
Fundamental Solutions for the Coupled KdV System and Its Stability
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DOI: 10.3390/sym12030429
Abstract: In this paper, we establish exact solutions for the non-linear coupled KdV equations. The exp-function method is used to construct the solitary travelling wave solutions for these equations. The numerical adaptive moving mesh PDEs (MMPDEs)… read more here.
Keywords: kdv system; fundamental solutions; coupled kdv; kdv ... See more keywords