2 papers
math.AP2022
Normal form for transverse instability of gZK equation for the line soliton with nearly critical speed
Yakine Bahri, Hichem Hajaiej
In this paper, we study the transverse instability of generalized Zakharov-Kuznetsov equation for the line soliton with critical speed. We derive and justify a normal form reductio…
math.AP2022
Infinitely many positive solutions of a Gross-Pitaevskii equation in the presence of a harmonic potential and combined nonlinearities
Yakine Bahri, Hichem Hajaiej
The main goal of this paper is to address an important conjecture in the field of differential equations in the presence of a harmonic potential. While in the subcritical case, the…