Gevrey Regularity and Local Well-Posedness for the HirotaSatsuma System
References
- X. Zhao & Z. Lv, Well-posedness of initial value problem of Hirota-Satsuma system in low regularity Sobolev space. AIMS Mathematics (2022), Volume 7, Issue 4: 6702-6710. doi: 10.3934/math.2022374.
- J. Gorsky, A. A. Himonas, C. Holliman, G. Petronilho, The Cauchy problem of a periodic higher order KdV equation in analytic Gevrey spaces. J. Math. Anal. Appl., 40, 349361, (2013).
- A. Boukarou & K. Guerbati, The Cauchy problem of a periodic Kawahara equation in analytic Gevrey spaces, (2021), Issue: 2, 91 - 100, 30.10.2021. https://doi.org/10.47087/mjm.930045.
- A. A. Himonas, H. Kalisch & S. Selberg, On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation. Nonlinear Analysis: Real World Applications, 2017, 38, 35-48.
- F. Boudersa, A. Mennouni & RP. Agarwal, Advancements in Gevrey Regularity for a Coupled KadomtsevPetviashvili II System: New Insights and Findings. Axioms. 2025; 14(4):251. https://doi.org/10.3390/axioms14040251.
- F. Boudersa, A. Mennouni & RP. Agarwal, New Results on Gevrey Well-Posedness for the SchrdingerKortewegde Vries System. Math. Comput. Appl. 2025, 30(3), 52; https://doi.org/10.3390/mca30030052.
- G. Menon, Gevrey class regularity for the attractor of the laser equations, Nonlinearity 12 (1999) 15051510. Printed in the UK
- B. Alharbi, A. Alsaedi, R.P. Agarwal, & Ahmad, B. Existence results for a nonlocal q-integro multipoint boundary value problem involving a fractional q-difference equation with dual hybrid terms. Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 32 (3) 2024.
- A. Bensalem, A. Salim, M. Benchohra, & E. Karapinar, Existence and attractivity results on semi-infinite intervals for integrodifferential equations with non-instantaneous impulsions in Banach spaces. Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 32 (1) (2024).
- T. Bentrcia & A. Mennouni, On the energy decay of a nonlinear time-fractional Euler-Bernoulli beam problem including time-delay: theoretical treatment and numerical solution techniques. J. Eng. Math. 145, (1), 21 (2024).
- A. Mennouni & A. Youkana, Finite time blow-up of solutions for a nonlinear system of fractional differential equations. Electron. J. Differ. Equ. 2017.
- S. Otsmane, A. Mennouni, New contributions to a complex system of quadratic heat equations with a generalized kernels: global solutions. Monatsh. Math., 1-20 (2024).
Language: English
Page range: 101 - 115
Submitted on: Jun 24, 2025
Accepted on: Sep 30, 2025
Published on: May 15, 2026
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year
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© 2026 Feriel Boudersa, Abdelaziz Mennouni, Ravi P. Agarwal, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.