Integrable Semi-Discretization for a Modified Camassa-Holm Equation with Cubic Nonlinearity

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Authors: Feng, Bao-Feng, Hu, Heng-Chun, Sheng, Han-Han, Yin, Wei, Yu, Guo-Fu
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212604
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Integrable Semi-Discretization for a Modified Camassa-Holm Equation with Cubic Nonlinearity. Bao-Feng Feng, Heng-Chun Hu, Han-Han Sheng, Wei Yin and Guo-Fu Yu. SIGMA 20 (2024), 091, 14 pages

In the present paper, an integrable semi-discretization of the modified Camassa-Holm (mCH) equation with cubic nonlinearity is presented. The key points of the construction are based on the discrete Kadomtsev-Petviashvili (KP) equation and an appropriate definition of discrete reciprocal transformat...