An alternative explicit construction of N-soliton solutions in 1+1 dimensions
Chau, Ling-Lie ; Shaw, J. C. ; Yen, H. C.
College Park, Md. : American Institute of Physics (AIP)
Published 1991
College Park, Md. : American Institute of Physics (AIP)
Published 1991
| ISSN: |
1089-7658
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| Source: |
AIP Digital Archive
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| Topics: |
Mathematics
Physics
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| Notes: |
Using the special Riemann-problem technique of Zakharov et al. [Sov. Phys. JETP 47, 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.
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| Type of Medium: |
Electronic Resource
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| URL: |