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Quasi-Periodic Solution of the Kadomtsev-Petviashvili Equation

โœ Scribed by Fang Li; Xuemei Li; Bo Xue


Book ID
116833664
Publisher
Elsevier
Year
2012
Tongue
English
Weight
478 KB
Volume
33
Category
Article
ISSN
1875-3892

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๐Ÿ“œ SIMILAR VOLUMES


Periodic solutions of Kadomtsev-Petviash
โœ Martin Schwarz Jr. ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 611 KB

This paper establishes the existence of global solutions of the nonlinear equation of Kadomtsev-Petviashvili ut+uu,+u,,x=D-luyy, (1) which are periodic in x and y and D-' denotes the primitive in x. Zakharov [l], Chen [2], and Fokas [3] have established the existence of an infinite sequence of integ

Periodic and solitary traveling wave sol
โœ A. A. Pankov; K. Pflรผger ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 164 KB ๐Ÿ‘ 2 views

This paper is concerned with traveling waves for the generalized Kadomtsev}Petviashvili equation (w y)31, t31, i.e. solutions of the form w(t, , y)"u( !ct, y). We study both, solutions periodic in x" !ct and solitary waves, which are decaying in x, and their interrelations. In particular, we prove