Thomas Bridges is a Professor of Mathematics at the University of Surrey. He has been researching the theory of nonlinear waves for over 30 years.   In addition to a PhD from Penn State, he has held fellowships in 5 countries: NSF Postdoctoral Fellowship (Wisconsin), Fellowship at Queen’s College (Oxford), NWO Fellowship (Utrecht), Humboldt Fellowship (Stuttgart), and CNRS Fellowship (ENS Cachan). TJB has over 170 publications, has authored one book and co-authored two other books. He has contributed across the pure to applied spectrum in the context of nonlinear waves, geometric numerics, Hamiltonian systems, multisymplectic geometry, and Whitham modulation theory. Timothy Burchell as a Visiting Postdoctoral Researcher in Mathematics at the University of Surrey.   He received his PhD in 2022 from Surrey, in the area of nonlinear waves, stability, and Clifford analysis.  His undergraduate degree was also from Surrey, and he was awarded the Ron Shail Prize for finishing top of his class. His research is currently focused on new directions in the geometry, structure and dynamics of nonlinear waves.

• 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.

Thomas Bridges is a Professor of Mathematics at the University of Surrey. He has been researching the theory of nonlinear waves for over 30 years.   In addition to a PhD from Penn State, he has held fellowships in 5 countries: NSF Postdoctoral Fellowship (Wisconsin), Fellowship at Queen’s College (Oxford), NWO Fellowship (Utrecht), Humboldt Fellowship (Stuttgart), and CNRS Fellowship (ENS Cachan). TJB has over 170 publications, has authored one book and co-authored two other books. He has contributed across the pure to applied spectrum in the context of nonlinear waves, geometric numerics, Hamiltonian systems, multisymplectic geometry, and Whitham modulation theory. Timothy Burchell as a Visiting Postdoctoral Researcher in Mathematics at the University of Surrey.   He received his PhD in 2022 from Surrey, in the area of nonlinear waves, stability, and Clifford analysis.  His undergraduate degree was also from Surrey, and he was awarded the Ron Shail Prize for finishing top of his class. His research is currently focused on new directions in the geometry, structure and dynamics of nonlinear waves.

• 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.

Thomas Bridges is a Professor of Mathematics at the University of Surrey. He has been researching the theory of nonlinear waves for over 30 years.   In addition to a PhD from Penn State, he has held fellowships in 5 countries: NSF Postdoctoral Fellowship (Wisconsin), Fellowship at Queen’s College (Oxford), NWO Fellowship (Utrecht), Humboldt Fellowship (Stuttgart), and CNRS Fellowship (ENS Cachan). TJB has over 170 publications, has authored one book and co-authored two other books. He has contributed across the pure to applied spectrum in the context of nonlinear waves, geometric numerics, Hamiltonian systems, multisymplectic geometry, and Whitham modulation theory. Timothy Burchell as a Visiting Postdoctoral Researcher in Mathematics at the University of Surrey.   He received his PhD in 2022 from Surrey, in the area of nonlinear waves, stability, and Clifford analysis.  His undergraduate degree was also from Surrey, and he was awarded the Ron Shail Prize for finishing top of his class. His research is currently focused on new directions in the geometry, structure and dynamics of nonlinear waves.

• 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.