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On the infinite hierarchies of symmetries and constants of motion for the Kadomtsev-Petviashvili equation

✍ Scribed by H.H. Chen; J.E. Lin


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
441 KB
Volume
26
Category
Article
ISSN
0167-2789

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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