Stability criterion for solitons

DOI10.1007/BF01028247zbMath0729.35113OpenAlexW2020943586MaRDI QIDQ805917

Alexander Givental

Publication date: 1990

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01028247

zbMATH Keywords

solitary waveslongitudinal vibrationsnonlinear elastic infinite rodone-dimensional strain field

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Soliton equations (35Q51)

Cites Work

• Actions with a finite number of orbits
• A generalized Sturm theorem
• Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation

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