Multiwave, multicomplexiton, and positive multicomplexiton solutions to a (3 + 1)-dimensional generalized breaking soliton equation
K. Hosseini, Aly R. Seadawy, Mohammad Mirzazadeh, Mostafa Eslami, S. Radmehr, Dumitru Bǎleanu
Abstract
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.
Topics & Concepts
Superposition principleSolitonNonlinear systemMathematicsVariety (cybernetics)Applied mathematicsSeries (stratigraphy)Work (physics)Evolution equationMathematical analysisPhysicsQuantum mechanicsStatisticsPaleontologyBiologyNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions