Nonlinear Waves and Diffusion Processes - Hardcover

Vaganan, B. Mayil

 
9788173197017: Nonlinear Waves and Diffusion Processes

Synopsis

Nonlinear analysis has become an indispensable tool in the exploration of a wide range of physical phenomena. This book is devoted to transformation techniques, asymptotic analysis and symbolic and numerical computations of nonlinear wave propagation and diffusion processes. Each paper discusses a nonlinear problem in detail and depth so as to provide the reader with impetus to vigorously pursue research in nonlinear waves and diffusion.

The applied mathematicians, mathematical physicists, engineers and post-graduate students will find this volume extremely useful as it depicits a comprehensive picture of nonlinear science with its tremendous range of applications.

Table of Contents

• Preface
• Exponential and Algebraic Solutions Describing Unsteady Rectilinear Flows of Non-homentropic, Perfect Gas
• Nonlinear Schrödinger (NLS) Family of Equations: Spatiotemporal Patterns
• Invariant Solutions of the Generalised Burgers Equation with Variable Viscosity
• A Class of Liquid Motions which Preserve the Contact Angle
• Invariant Solutions of a Nonlocal Gaseous Ignition Model
• Non-uniform Slot Injection (Suction) into Water Boundary Layers
• Large-time Asymptotics for Periodic Solutions of Modified Nonplanar and modified Nonplanar Damped Burgers Equations
• On the Solutions of the Nonplanar Burgers Equation
• Exact Similarity Solutions for a Semilinear Dissipative Wave Equation
• Transformations Between Burgers Equations.

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About the Author

B. Mayil Vaganan.: School of Mathematics (Autonomous) Madurai Kamaraj University, Madurai, India

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