اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدBilinearization and Casorati determinant solution to the non-autonomous discrete KdV equation
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Casorati determinant solution to the non-autonomous discrete KdV equation is constructed by using the bilinear formalism. We present three different bilinear formulations which have different origins.
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64 -
Yasuhiro Ohta (Research Institute for Mathematical Sciences
, Kyoton University
, Kyoto 606
1993
The relativistic Toda lattice equation is decomposed into three Toda systems, the Toda lattice itself, Backlund transformation of Toda lattice and discrete time Toda lattice. It is shown that the solutions of the equation are given in terms of the Ca
sorati determinant. By using the Casoratian technique, the bilinear equations of Toda systems are reduced to the Laplace expansion form for determinants. The $N$-soliton solution is explicitly constructed in the form of the Casorati determinant.
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