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Stability of dnoidal waves to Hirota-Satsuma system.

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Publication:976615
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zbMath1201.76033MaRDI QIDQ976615

Jaime Angulo Pava

Publication date: 15 June 2010

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

stabilityHirota-Satsuma systemdnoidal waves


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Function spaces arising in harmonic analysis (42B35) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51) Fourier series and coefficients in several variables (42B05)


Related Items (6)

Orbital stability of solitary waves to the coupled compound KdV and MKdV equations with two components ⋮ Well-posedness for the Cauchy problem associated to the Hirota-Satsuma equation: periodic case ⋮ Nonlinear stability of periodic traveling wave solutions to the Schrödinger and the modified Korteweg-de Vries equations ⋮ Orbital stability of periodic traveling wave solutions to the coupled compound KdV and MKdV equations with two components ⋮ Well-posedness and critical index set of the Cauchy problem for the coupled KdV-KdV systems on \(\mathbb{T}\) ⋮ Stability of elliptic function solutions for the focusing modified KdV equation






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