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Instabilities and oscillations of one- and two-dimensional Kadomtsev-Petviashvili waves and solitons II. Linear to nonlinear analysis

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Publication:4545382
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DOI10.1098/rspa.2001.0937zbMath0998.37023OpenAlexW2047720177MaRDI QIDQ4545382

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Publication date: 15 August 2002

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2001.0937



Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)


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Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations ⋮ Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation




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