## 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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