Construction of breather solutions and <i>N</i>-soliton for the higher order dimensional Caudrey–Dodd–Gibbon–Sawada–Kotera equation arising from wave patterns
Hajar F. Ismael, Aly R. Seadawy, Hasan Bulut
Abstract
Abstract In this research, we explore the dynamics of Caudrey–Dodd–Gibbon–Sawada–Kotera equations in (1 + 1)-dimension, such as N -soliton, and breather solutions. First, a logarithmic variable transform based on the Hirota bilinear method is defined, and then one, two, three and N -soliton solutions are constructed. A breather solution to the equation is also retrieved via N -soliton solutions. All the solutions that have been obtained are novel and plugged into the equation to guarantee their existence. 2-D, 3-D, contour plot and density plot are also presented.
Topics & Concepts
BreatherSolitonBilinear interpolationBilinear formLogarithmDimension (graph theory)One-dimensional spaceRogue waveOrder (exchange)MathematicsPlot (graphics)Mathematical physicsMathematical analysisPhysicsQuantum mechanicsPure mathematicsNonlinear systemEconomicsStatisticsFinanceNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions