Transverse Instability of Solitary Waves Multisymplectic Dirac Operators and the Evans Function /

This book presents a wide-ranging geometric approach to the stability of solitary wave solutions of Hamiltonian partial differential equations (PDEs). It blends original research with background material and a review of the literature. The overarching aim is to integrate geometry, algebra, and analy...

Deskribapen osoa

Gorde:
Xehetasun bibliografikoak
Egile Nagusiak: Burchell, Timothy J. (Egilea), Bridges, Thomas J. (Egilea)
Erakunde egilea: SpringerLink (Online service)
Formatua: Baliabide elektronikoa eBook
Hizkuntza:ingelesa
Argitaratua: Singapore : Springer Nature Singapore : Imprint: Springer, 2025.
Edizioa:1st ed. 2025.
Saila:Mathematical Physics Studies,
Gaiak:
Sarrera elektronikoa:https://doi.org/10.1007/978-981-95-2046-6
Etiketak: Etiketa erantsi
Etiketarik gabe, Izan zaitez lehena erregistro honi etiketa jartzen!
Aurkibidea:
  • Chapter 1 Introduction
  • Chapter 2 Literature Review
  • Chapter 3 Multisymplectic Wave Equations and Dirac Operators
  • Chapter 4 Solitary Wave Solutions and Their Properties
  • Chapter 5 Linearisation about Solitary Waves
  • Chapter 6 Spectral Stability and the Evans Function
  • Chapter 7 Derivatives of the Evans Function
  • Chapter 8 Summary of Hypotheses Used
  • Chapter 9 Example: Nonlinear Wave Equation in 2 + 1
  • Chapter 10 Concluding Remarks.