Description of two soliton collision for the quartic gKdV equation

On the Inelastic 2-soliton Collision for Gkdv Equations with General Nonlinearity

We study the problem of 2-soliton collision for the generalized Korteweg-de Vries equations, completing some recent works of Y. Martel and F. Merle [22, 23]. We classify the nonlinearities for which collisions are elastic or inelastic. Our main result states that in the case of small solitons, with one soliton smaller than the other one, the unique nonlinearities allowing a perfectly elastic co...

Multi-soliton solutions for the supercritical gKdV equations

For the L subcritical and critical (gKdV) equations, Martel [11] proved the existence and uniqueness of multi-solitons. Recall that for any N given solitons, we call multi-soliton a solution of (gKdV) which behaves as the sum of these N solitons asymptotically as t → +∞. More recently, for the L supercritical case, Côte, Martel and Merle [4] proved the existence of at least one multi-soliton. I...

Description of the inelastic collision of two solitary waves for the BBM equation ∗

We prove that the collision of two solitary waves of the BBM equation is inelastic but almost elastic in the case where one solitary wave is small in the energy space. We show precise estimates of the nonzero residue due to the collision. Moreover, we give a precise description of the collision phenomenon (change of size of the solitary waves and shifts in their trajectories). To prove these re...

On the Stability of the Orthogonally Quartic Functional Equation

‏‎the description of verb phrase of dezfuli dialect‎‏

شهرستان دزفول در بخش شمالغربی خوزستان با مساحت 4700 کیلومتر مربع و جمعیت 380416 (1375 ) واقع شده است . دزفولیها به گویش دزفولی تکلم می کنند ، گویشی که جز دسته جنوبی زبانهای ایرانی است . در این پایان نامه نویسنده قصد دارد گروه فعلی گویش دزفولی را توصیف کند. همچنین به بحث در باره ریشه فعلی و ستاک های مختلف ، ساخت سببی ، فعل های منظم و نامنظم ، ویژگیهای فعل مانند زمان ، وجه و نمود می پردازد در فصل...