Exact Peakon, Periodic Peakon and Solitary Wave Solutions of the General Chen Equation: Dynamical System Approach

Key Points

• Exact peakon and solitary wave solutions are demonstrated in this analysis, enhancing understanding of wave behavior.
• The presented solutions account for both periodic and non-periodic wave types, indicating the versatility of the general Chen equation.
• Analytical approaches involving dynamical systems techniques are utilized to derive these exact solutions successfully.
• Implications for further studies on similar wave equations are evident, allowing for potential applications in physics.