Title of article :
Low-regularity solutions of the periodic general Degasperis–Procesi equation
Original Research Article
Author/Authors :
Lixin Tian، نويسنده , , Yuexia Chen، نويسنده , , Yue Liu، نويسنده , , Ying Gao، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Abstract :
This paper studies low-regularity solutions of the periodic general Degasperis–Procesi equation with an initial value. The existence and the uniqueness of solutions are proved. The results are illustrated by considering the periodic peakons of the periodic general Degasperis–Procesi equation.
Keywords :
Low-regularity solutions , Korteweg–de Vries equation , Camassa–Holm equation , Degasperis–Procesi equation , bb-family of equations , General Degasperis–Procesi equation
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications