文献类型：期刊文献

英文题名：Diversity of Interaction Solutions of a Shallow Water Wave Equation

作者：Yu, Jian-Ping[1];Ma, Wen-Xiu[2,3,4,5,6];Ren, Bo[7];Sun, Yong-Li[8,9];Khalique, Chaudry Masood[6]

机构：[1]Univ Sci & Technol Beijing, Dept Appl Math, Beijing 100083, Peoples R China;[2]Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China;[3]Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA;[4]South China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China;[5]Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China;[6]North West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa;[7]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[8]Beijing Univ Chem Technol, Dept Math, Beijing 100029, Peoples R China;[9]Brock Univ, Dept Math & Stat, St Catharines, ON, Canada

年份：2019

卷号：2019

外文期刊名：COMPLEXITY

收录：SCI-EXPANDED(收录号：WOS:000501600000007)、、EI(收录号：20195107851939)、Scopus(收录号：2-s2.0-85076353621)、WOS

基金：This work was supported by the National Natural Science Foundation of China (nos. 11101029, 11271362, 11375030, and DMS-1664561), Fundamental Research Funds for the Central Universities (no. 610806), Beijing City Board of Education Science and Technology Key Project (no. KZ201511232034), Beijing Nova Program (no. Z131109000413029), and Beijing Finance Funds of Natural Science Program for Excellent Talents (no. 2014000026833ZK19).

语种：英文

外文关键词：Wave equations

外文摘要：In this paper, we study the diversity of interaction solutions of a shallow water wave equation, the generalized Hirota-Satsuma-Ito (gHSI) equation. Using the Hirota direct method, we establish a general theory for the diversity of interaction solutions, which can be applied to generate many important solutions, such as lumps and lump-soliton solutions. This is an interesting feature of this research. In addition, we prove this new model is integrable in Painleve sense. Finally, the diversity of interactive wave solutions of the gHSI is graphically displayed by selecting specific parameters. All the obtained results can be applied to the research of fluid dynamics.