Soliton surface associated with the oriented associativity equation for n=3 case

Abstract

The paper constructs soliton surfaces corresponding to the oriented associativity equation in the n=3 case. Using differential geometric techniques, the authors analyze the geometric properties of these soliton surfaces and their connections to integrable systems. The results extend the theory of soliton surfaces and provide explicit examples that illustrate the interplay between soliton equations and the associativity equation in mathematical physics.