Titlebook: Nonlinear Partial Differential Equations for Scientists and Engineers; Lokenath Debnath Textbook 2012Latest edition Springer Science+Busin

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Asymptotic Methods and Nonlinear Evolution Equations,dium. The governing equations are usually derived from conservation laws. In simple cases, these equations are hyperbolic. However, in general, the physical processes involved are so complex that the governing equations are very complicated, and hence, are not integrable by analytic methods. So, spe

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Textbook 2012Latest editionerential equations and their varied and updated applications.  In an effort to make the book more useful for a diverse readership, updated modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, a

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Textbook 2012Latest editionomplete and accessible resource for graduate students and professionals in mathematics, physics, science, and engineering. It may be used to great effect as a course textbook, research reference, or self-study guide..

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,The Nonlinear Schrödinger Equation and Solitary Waves,ant interaction equations. Zakharov and Shabat (Sov. Phys. JETP 34:62–69, .) developed an ingenious inverse scattering method to show that the NLS equation is completely integrable. The NLS equation is of great importance in adding to our fundamental knowledge of the general theory of nonlinear dispersive waves.

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Linear Partial Differential Equations,blems. In order to prepare the reader for study and research in nonlinear partial differential equations, a broad coverage of the essential standard material on linear partial differential equations and their applications is required.

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First-Order, Quasi-linear Equations and Method of Characteristics,ird-, and higher-order equations..This chapter is concerned with first-order, quasi-linear and linear partial differential equations and their solutions by using the Lagrange method of characteristics and its generalizations.