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Exact solutions for KdV system equations hierarchy

Tong-ke Ning, Chong-feng Wu and Da-jun Zhang

Physica A: Statistical Mechanics and its Applications, 2007, vol. 377, issue 2, 421-428

Abstract: Exact solutions for KdV system equations hierarchy are obtained by using the inverse scattering transform. Exact solutions of isospectral KdV hierarchy, nonisospectral KdV hierarchies and τ-equations related to the KdV spectral problem are obtained by reduction. The interaction of two solitons is investigated.

Keywords: Exact solutions; KdV system equations hierarchy; Isospectral KdV hierarchy; Nonisospectral KdV hierarchy; τ-equations; Inverse scattering transform (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:377:y:2007:i:2:p:421-428

DOI: 10.1016/j.physa.2006.11.039

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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