Normalized solutions to the generalized Kadomtsev–Petviashvili equations: supercritical case

Key Points

• Normalized solutions were identified for the generalized Kadomtsev–Petviashvili equations, enhancing understanding of soliton dynamics.
• A key insight was the existence of stable solutions in the supercritical case, advocating for further exploration in mathematical modeling.
• This analysis utilized advanced techniques in soliton theory to assess complex wave behaviors across various scenarios.
• The findings highlight important implications for theoretical application in mathematical physics, calling for comprehensive follow-up studies.