Instability of solitary waves in nonlinear composite media

DOI10.1007/S10255-007-0373-4zbMath1269.74133OpenAlexW2151392974MaRDI QIDQ1036878

Ye Zhao

Publication date: 13 November 2009

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-007-0373-4

zbMATH Keywords

solitary wavewell-posednessspectrumcompositeorbital instability

Mathematics Subject Classification ID

Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solitary waves in solid mechanics (74J35) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

Orbital stability of the smooth solitary wave with nonzero asymptotic value for the mCH equation ⋮ Existence, orbital stability and instability of solitary waves for coupled BBM equations

Cites Work

• Instability of solitary waves for generalized Boussinesq equations
• Stability theory of solitary waves in the presence of symmetry. II
• Stability theory of solitary waves in the presence of symmetry. I
• Instability of a class of dispersive solitary waves
• Stability and instability of solitary waves of Korteweg-de Vries type
• Stability and instability of solitary waves for a nonlinear dispersive system
• Stability of solitary waves in nonlinear composite media
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