Instability and blow-up of solutions of the fifth-order KP equation
Esfahani A. Levandosky S.
15 May 2022Academic Press Inc.
Journal of Mathematical Analysis and Applications
2022#509Issue 2
In this paper, we study the dynamical behavior of solutions of the fifth-order Kadomtsev–Petviashvili equation. We improve the results of the previous works and show strong instability of solitary waves when the coefficient of the third-order dispersion term is positive. In spite of the lack of scaling, by using the variational characteristics of the solitary waves we obtain sharp thresholds for blow-up and global existence by means of new estimates.
Blow-up , Kadomtsev–Petviashvili equation , Solitary wave , Stability
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Department of Mathematics, Nazarbayev University, Nur-Sultan, 010000, Kazakhstan
Mathematics and Computer Science Department, College of the Holy Cross, Worcester, 01610, MA, United States
Department of Mathematics
Mathematics and Computer Science Department
10 лет помогаем публиковать статьи Международный издатель
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