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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
[2] C. S. Gardner, Phys. Rev. Lett. 19 pp 1095– (1967)
[3] J. Rubinstein, J. Math. Phys. 11 pp 258– (1970)
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