An alternative explicit construction of N-soliton solutions in 1+1 dimensions
- 1 July 1991
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 32 (7) , 1737-1743
- https://doi.org/10.1063/1.529235
Abstract
Using the special Riemann‐problem technique of Zakharov e t a l. [Sov. Phys. JETP 4 7, 1017 (1978)], an explicit N‐step Bäcklund transformation is derived for a class of 1+1‐dimensional nonlinear evolution equations, thus providing an alternative explicit expression of their N‐soliton solutions which no longer involves computations of the intermediate solutions, nor leaves any expansion of N×N determinants (and their differentiation) to be done.Keywords
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