Solitary wave solution of nonlinear Bogoyavlenskii system by variational analysis method
Kang‐Le Wang
Abstract
In this work, the Bogoyavlenskii system (BS) and fractal BS are investigated by variational method for the first time. An efficient and simple scheme is proposed to seek their exact solitary wave solutions, which is called variational analysis method. The novel scheme requires only two steps, making it much attractive in practical applications, and a good result is obtained. This paper cleans up the road to the exact solitions, and it sheds a new light on the soliton theory. Finally, the physical properties of solitary wave solutions obtained are analyzed by some simulation figures.
Topics & Concepts
Scheme (mathematics)Simple (philosophy)FractalSolitonNonlinear systemWork (physics)Computer scienceVariational methodApplied mathematicsPhysicsMathematical analysisMathematicsQuantum mechanicsPhilosophyEpistemologyNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems