New analytical wave structures for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq models and their applications
Dianchen LuDepartment of Mathematics, Faculty of Science, Jiangsu University, PR ChinaKalim U. TariqDepartment of Mathematics, Mirpur University of Science and Technology, Mirpur (AJK)10250, PakistanM.S. OsmanDepartment of Mathematics, Faculty of Science, Cairo University, Giza, EgyptDumitru BǎleanuCankaya University, Department of Mathematics, Ögˇretmenler Cad., 1406530 Ankara, TurkeyMuhammad YounisCentre for Undergraduate Studies, University of the Punjab, Lahore 54590, PakistanMostafa M. A. KhaterDepartment of Mathematics, Faculty of Science, Jiangsu University, PR China
2019en
ABI
Аннотация
Different types of soliton wave solutions for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq equations are investigated via the solitary wave ansatz method. These solutions are classified into three categories, namely solitary wave, shock wave, and singular wave solutions. The corresponding integrability criteria, termed as constraint conditions, obviously arise from the study. Moreover, the influences of the free parameters and interaction properties in these solutions are discussed graphically for physical interests and possible applications.
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