Asymptotic Perturbation Methods: For Nonlinear Differential Equations in Physics

Asymptotic Perturbation Methods: For Nonlinear Differential Equations in Physics – Ebook Instant Download/Delivery ISBN(s): 9783527841721,9783527841745,9783527841738,3527841725,3527841741,3527841733

Product details:

• ISBN-10 ‏ : ‎ 3527841741
• ISBN-13 ‏ : ‎9783527841738
• Author: Attilio Maccari

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.

Table contents:

1 THE ASYMPTOTIC PERTURBATION METHOD FOR NONLINEAR OSCILLATORS

2 THE ASYMPTOTIC PERTURBATION METHOD FOR REMARKABLE NONLINEAR OSCILLATORS

3 THE ASYMPTOTIC PERTURBATION METHOD FOR VIBRATION CONTROL WITH TIME DELAY STATE FEEDBACK

4 THE ASYMPTOTIC PERTURBATION METHOD FOR VIBRATION CONTROL WITH NONLOCAL DYNAMICS

5 THE ASYMPTOTIC PERTURBATION METHOD FOR NONLINEAR CONTINUOUS SYSTEMS

6 THE ASYMPTOTIC PERTURBATION METHOD FOR DISPERSIVE NONLINEAR PARTIAL DIFFERENTIAL

7 THE ASYMPTOTIC PERTURBATION METHOD FOR PHYSICS PROBLEMS

8 THE ASYMPTOTIC PERTURBATION METHOD FOR ELEMENTARY PARTICLE PHYSICS

9 THE ASYMPTOTIC PERTURBATION METHOD FOR ROGUE WAVES IN NONLINEAR SYSTEMS

10 THE ASYMPTOTIC PERTURBATION METHOD FOR FRACTAL AND CHAOTIC SOLUTIONS IN NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

11 THE ASYMPTOTIC PERTURBATION METHOD FOR NONLINEAR QUANTUM MECHANICS

12 COSMOLOGY

13 CONFINEMENT AND ASYMPTOTIC FREEDOM IN A PURELY GEOMETRIC FRAMEWORK

14 THE ASYMPTOTIC PERTURBATION METHOD FOR A REVERSE INFINITE-PERIOD BIFURCATION IN THE NONLINEAR SCHRÖDINGER EQUATION

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