×

Exact solution of the Korteweg–de Vries equation for multiple collisions of solitons. (English) Zbl 1168.35423

Summary: An exact solution has been obtained for the Korteweg–de Vries equation for the case of multiple collisions of \(N\) solitons with different amplitudes.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] I. Kay, J. Appl. Phys. 27 pp 1503– (1956) · Zbl 0073.22202
[2] C. S. Gardner, Phys. Rev. Lett. 19 pp 1095– (1967)
[3] J. Rubinstein, J. Math. Phys. 11 pp 258– (1970)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.