IJAM: Volume 37, No. 4 (2024)

DOI: 10.12732/ijam.v37i4.4

LAPLACE TRANSFORM SOLUTIONS OF CAUCHY

PROBLEM FOR THE MODIFIED

KORTEWEG-DE VRIES EQUATION

Abdel Baset I. Ahmed

Engineering Mathematics and Physics Dept.

Faculty of Engineering - Helwan University - Mataria Branch

Cairo, 11795, EGYPT

Abstract. In this paper, using Laplace transform we prove the well-posedness of the Cauchy problem for the strongly nonlinear modified Korteweg-de Vries equation on semi-axis in both the focusing and the defocusing case. We applied the outcoming results of this work to another familiar form of the Korteweg–de Vries, that played a significant role in the development of the soliton theory.`

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How to cite this paper?
DOI: 10.12732/ijam.v37i4.4
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2024
Volume: 37
Issue: 4

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