Nonexistence of pure multi-solitons for the quartic gBBM equation

作者：Wei, Jingdong; Zhen, Zaili; Chen, Wenxia; Tian, Lixin^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2018, 55: 1-15.

DOI：10.1016/j.cnsns.2017.06.026

• Nonintegrable
• Generalized BBM equation
• Pure multi-solitons
• Approximate solution

In this article, we study the existence of pure multi-solitons for the quartic generalized Benjamin-Bona-Mahony (gBBM) equation. Motivated by Martel and Merle (2015,2010) [36,33] and El Dika and Martel (2004) [6], we prove the nonexistence of pure multisolitons for this model. The main argument is the construction of an approximate solution for t >> 1, and the description of its asymptotics for x >> 1.

• 出版日期2018-2
• 单位江苏大学; 南京师范大学