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Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation

✍ Scribed by F Gesztesy; H Holden; E Saab; B Simon


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
743 KB
Volume
98
Category
Article
ISSN
0022-1236

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A New Class of Soliton Solutions for the
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We construct solutions of the Kadomtsev-Petviashvili equation and its counterpart, the modified Kadomtsev-Petviashvili equation, with an infinite number of solitons by a careful armination of the limits of N -soliton solutions as N --t OQ. We give sufficient conditions to ensure that these limits ex

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This paper studies the solution of the Kadomtsev-Petviasvili equation with power law nonlinearity in 1+3 dimensions. The Lie symmetry approach as well as the extended tanh-function and G / G methods are used to carry out the analysis. Subsequently, the soliton solution is obtained for this equation