Multiwave, multicomplexiton, and positive multicomplexiton solutions to a (3 + 1)-dimensional generalized breaking soliton equation

• Published in: Alexandria engineering journal Vol. 59; no. 5; pp. 3473 - 3479
• Main Authors: Hosseini, K., Seadawy, Aly R., Mirzazadeh, M., Eslami, M., Radmehr, S., Baleanu, Dumitru
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.10.2020; Elsevier
• Subjects: (3+1)-dimensional generalized breaking soliton equation; Linear superposition method; Multicomplexiton; Multiwave; Positive multicomplexiton solutions; Specific techniques; Multicomplexiton; Multiwave; Linear superposition method; Specific techniques; (3+1)-dimensional generalized breaking soliton equation; Positive multicomplexiton solutions
• ISSN: 1110-0168
• DOI: 10.1016/j.aej.2020.05.027

There are a lot of physical phenomena which their mathematical models are decided by nonlinear evolution (NLE) equations. Our concern in the present work is to study a special type of NLE equations called the (3 + 1)-dimensional generalized breaking soliton (3D-GBS) equation. To this end, the linear superposition (LS) method along with a series of specific techniques are utilized and as an achievement, multiwave, multicomplexiton, and positive multicomplexiton solutions to the 3D-GBS equation are formally constructed. The study confirms the efficiency of the methods in handling a wide variety of nonlinear evolution equations.