COMPLEX AND SINGULAR SOLUTIONS OF KDV AND MKDV EQUATIONS

Buti, B.; Rao, N.N.; Khadkikar, S.B.

doi:10.1088/0031-8949/34/6B/001

COMPLEX AND SINGULAR SOLUTIONS OF KDV AND MKDV EQUATIONS

1986

3 pages

Published in:

Phys.Scripta 34 (1986) 729-731

DOI:

10.1088/0031-8949/34/6B/001

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Abstract: (IOP)

The Korteweg-de Vries (KdV) and the modified Korteweg-de Vries (MKdV) equations are shown to have, besides the regular real solutions, exact regular complex as well as singular solutions. The singular solution for the KdV is real but for the MKdV it is pure imaginary. Implications of the complex solutions are discussed.

Korteweg-de Vries equation
FIELD EQUATIONS: SOLUTION
MATHEMATICAL METHODS

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