HIROTA METHOD FOR SOLVING THE 2+1-DIMENSIONAL S-INTEGRABLE EXTENDED DYM EQUATION
Keywords:
Nonlinear integrable equations, Hirota’s method, Soliton solutions, Dym equationAbstract
The construction of soliton solutions to nonlinear partial differential equations is a central topic in nonlinear science. As a high-dimensional integrable equation, the 2+1- dimensional extended Dym equation is of great theoretical and practical significance. In this paper, we employ the Hirota method to transform the original equation into its bilinear form via appropriate variable substitutions. We construct one-soliton, two-soliton solutions and derive the general form of N-soliton solutions, analyzing their structural properties and physical implications. Results show that the equation is fully integrable and that soliton collisions are elastic. This work provides a theoretical reference for further studies on similar high-dimensional nonlinear equations.References
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