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Asymptotic Perturbation Methods - For Nonlinear Differential Equations in Physics (Hardcover)
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Asymptotic Perturbation Methods - For Nonlinear Differential Equations in Physics (Hardcover)
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Cohesive overview of powerful mathematical methods to solve
differential equations in physics Asymptotic Perturbation Methods
for Nonlinear Differential Equations in Physics addresses
nonlinearity in various fields of physics from the vantage point of
its mathematical description in the form of nonlinear partial
differential equations and presents a unified view on nonlinear
systems in physics by providing a common framework to obtain
approximate solutions to the respective nonlinear partial
differential equations based on the asymptotic perturbation method.
Aside from its complete coverage of a complicated topic, a
noteworthy feature of the book is the emphasis on applications.
There are several examples included throughout the text, and,
crucially, the scientific background is explained at an elementary
level and closely integrated with the mathematical theory to enable
seamless reader comprehension. To fully understand the concepts
within this book, the prerequisites are multivariable calculus and
introductory physics. Written by a highly qualified author with
significant accomplishments in the field, Asymptotic Perturbation
Methods for Nonlinear Differential Equations in Physics covers
sample topics such as: Application of the various flavors of the
asymptotic perturbation method, such as the Maccari method to the
governing equations of nonlinear system Nonlinear oscillators,
limit cycles, and their bifurcations, iterated nonlinear maps,
continuous systems, and nonlinear partial differential equations
(NPDEs) Nonlinear systems, such as the van der Pol oscillator, with
advanced coverage of plasma physics, quantum mechanics, elementary
particle physics, cosmology, and chaotic systems Infinite-period
bifurcation in the nonlinear Schrodinger equation and fractal and
chaotic solutions in NPDEs Asymptotic Perturbation Methods for
Nonlinear Differential Equations in Physics is ideal for an
introductory course at the senior or first year graduate level. It
is also a highly valuable reference for any professional scientist
who does not possess deep knowledge about nonlinear physics.
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