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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
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References:

[1] I. Kay, J. Appl. Phys. 27 pp 1503– (1956) · Zbl 0073.22202 · doi:10.1063/1.1722296
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[3] J. Rubinstein, J. Math. Phys. 11 pp 258– (1970) · doi:10.1063/1.1665057
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