Review of Some Modified Generalized Korteweg–De Vries–Kuramoto–Sivashinsky (mgKdV-KS) Equations

This paper reviews the results of existence and uniqueness of the solutions of these equations: the Korteweg–De Vries equation, the Kuramoto–Sivashinsky equation, the generalized Korteweg–De Vries–Kuramoto–Sivashinsky equation and the nonhomogeneous boundary value problem for the KdV-KS equation in quarter plane.

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Publication Details

Journal
Foundations
Published
2024-11-04
DOI
https://doi.org/10.3390/foundations4040038
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
0.00
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article

Review of Some Modified Generalized Korteweg–De Vries–Kuramoto–Sivashinsky (mgKdV-KS) Equations

Marie-Thérèse Aimar, Abdelkader Intissar
Foundations
Nonlinear Waves and Solitons
article

Review of Some Modified Generalized Korteweg–De Vries–Kuramoto–Sivashinsky (mgKdV-KS) Equations

Marie-Thérèse Aimar, Abdelkader Intissar
article en

Abstract

This paper reviews the results of existence and uniqueness of the solutions of these equations: the Korteweg–De Vries equation, the Kuramoto–Sivashinsky equation, the generalized Korteweg–De Vries–Kuramoto–Sivashinsky equation and the nonhomogeneous boundary value problem for the KdV-KS equation in quarter plane.

FoundationsVol. 4(4)
Centre National de la Recherche Scientifique (FR), Aix-Marseille Université (FR), Délégation Provence et Corse (FR), Institut de Mathématiques de Marseille (FR)
Openalex Percentile: Top 82%
Nonlinear Waves and Solitons
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