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
โฆ LIBER โฆ
Quasi-Periodic Solution of the Kadomtsev-Petviashvili Equation
โ 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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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
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