On the instability of a class of periodic travelling wave solutions of the modified Boussinesq equation
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Publication:1958078
DOI10.1155/2010/637497zbMath1198.35215OpenAlexW2056200950WikidataQ58651383 ScholiaQ58651383MaRDI QIDQ1958078
Publication date: 28 September 2010
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/225053
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07)
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Cites Work
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- Instability of solitary waves for generalized Boussinesq equations
- Nonlinear stability of periodic traveling wave solutions to the Schrödinger and the modified Korteweg-de Vries equations
- Iteration processes related to nonexpanding mappings
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- Nonlinear stability properties of periodic travelling wave solutions of the classical Korteweg-de Vries and Boussinesq equations
- Semigroups of linear operators and applications to partial differential equations
- Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
- Stability theory of solitary waves in the presence of symmetry. I
- On the instability of a class of periodic travelling wave solutions of the modified Boussinesq equation
- Stability and instability of solitary waves of Korteweg-de Vries type
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