History Basic models Solitary and periodic travelling wave solutions | |
Well-posedness and stability definition: Initial value problem | |
Definition of stability Stability theory: Orbital stability–the classical method | |
Grillakis-Shatah-Strauss's stability approach | |
The Concentration-Compactness | |
Principle in stability theory: Existence and stability of solitary waves for the GBO equations More about the Concentration-Compactness | |
Principle Instability of solitary wave solutions | |
Stability of periodic travelling waves: Stability of cnoidal waves | |
Appendices: Sobolev spaces and elliptic functions Operator theory | |
Bibliography | |
Index | |
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