Investigation into the Explicit Solutions of the Integrable (2+1)—Dimensional Maccari System via the Variational Approach
Kang‐Jia Wang, Jing Si
Abstract
In this paper, the integrable (2+1)-dimensional Maccari system (MS), which can model many complex phenomena in hydrodynamics, plasma physics and nonlinear optics, is investigated by the variational approach (VA). This proposed approach that based on the variational theory and Ritz-like method can construct the explicit solutions via the stationary conditions only taking two steps. Finally, the dynamic behaviors of the solutions are exhibited by choosing the appropriate parameters through the 3-D and density plots. It can be seen that the proposed method is concise and straightforward, and can be adopted to study the travelling wave theory in physics.
Topics & Concepts
Integrable systemConstruct (python library)Nonlinear systemApplied mathematicsRitz methodMathematicsClassical mechanicsMathematical analysisPhysicsComputer scienceQuantum mechanicsProgramming languageBoundary value problemFractional Differential Equations SolutionsNonlinear Waves and SolitonsAdvanced Differential Equations and Dynamical Systems