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

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.