Differential Geometric Approach of Betchow-Da Rios Soliton Equation
نویسندگان
چکیده
In the present paper, we investigate differential geometric properties soliton surface $M$ associated with Betchov-Da Rios equation. Then, give derivative formulas of Frenet frame unit speed curve $\Phi=\Phi(s,t)$ for all $t$. Also, discuss linear map Weingarten type in tangent space that generates two invariants: $k$ and $h$. Moreover, obtain necessary sufficient conditions equation to be a minimal surface. Finally, examine as an application.
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ژورنال
عنوان ژورنال: Hacettepe journal of mathematics and statistics
سال: 2023
ISSN: ['1303-5010']
DOI: https://doi.org/10.15672/hujms.1052831