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Work: Mixed Problem for a Nonlinear Schrödinger Equation of Negative Order in the Class of Periodic Infinite-Gap Functions

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Sur l'équation$\begin{array}{l} \frac{{d^2 y}}{{dx^2 }} + \left[ {2\nu \frac{{k^2 sn x cn x}}{{dn x}} + 2\nu _1 \frac{{sn x dn x}}{{cn x}} - 2\nu _2 \frac{{cn x dn x}}{{sn x}}} \right]\frac{{dy}}{{dx}} = \\ = \left[ {\frac{I}{{sn^2 x}}(n_3 - \nu _2 )(n_3 + \nu _2 + 1) + \frac{{dn^2 x}}{{cn^2 x}}(n_2 - \nu _1 )(n_2 + \nu _1 + 1) + } \right. \\ \left. { + \frac{{k^2 cn^2 x}}{{dn^2 x}}(n_1 - \nu )(n_1 + \nu + 1) + k^2 sn^2 x(n + \nu + \nu _1 + \nu _2 )(n - \nu - \nu _1 - \nu _2 + 1) + h} \right] \\ \end{array}$: Équation où v, v1, v2, désignent des nombres quelconques, n, n1, n2, n3 des nombres entiers positifs ou négatifs, et h une constante arbitraire. premier mémoire
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Untitled
Other1 citations
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