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The Static Elliptic $N$-soliton Solutions of the KdV Equation

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 نشر من قبل Kazuyasu Shigemoto
 تاريخ النشر 2018
  مجال البحث فيزياء
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Regarding $N$-soliton solutions, the trigonometric type, the hyperbolic type, and the exponential type solutions are well studied. While for the elliptic type solution, we know only the one-soliton solution so far. Using the commutative B{a}cklund transformation, we have succeeded in constructing the KdV static elliptic $N$-soliton solution, which means that we have constructed infinitely many solutions for the $wp$-function type differential equation.



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