"Nonlinear waves are essential phenomena in scientific and engineering disciplines. The features of nonlinear waves are usually described by solutions to nonlinear partial differential equations, which are fundamental to students and researchers. This book provides students, who are familiar with nonlinear waves, methods for solving nonlinear partial differential equations, enabling them to expand their studies into other related areas. The selection of topics and the focus given to each provide essential materials for a ...
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"Nonlinear waves are essential phenomena in scientific and engineering disciplines. The features of nonlinear waves are usually described by solutions to nonlinear partial differential equations, which are fundamental to students and researchers. This book provides students, who are familiar with nonlinear waves, methods for solving nonlinear partial differential equations, enabling them to expand their studies into other related areas. The selection of topics and the focus given to each provide essential materials for a lecturer to cover the bases in a nonlinear wave course. Chapter 1 introduces "Mode" types in terms of the nonlinear wave forms as well as the generic nonlinear partial differential equations (NLPDEs). B???acklund transform is introduced to solve different types of NLPDEs for stationary solutions. Chapters 2 and 3 are devoted to the derivation and solution characterization of three generic nonlinear equations: nonlinear Schrodinger equation, Korteweg-de Vries (KdV) equation, and Burgers equation. Chapter 4 is devoted to the inverse scattering transform (IST) which addresses the initial value problems of a group NLPDEs. Lax and AKNS equations, which represent a NLPDE, subject to a specific pair of operators are introduced. K-dV equation is adopted to illustrate methods to determine the pair of operators, which lead to two auxiliary equations, one is in the form of linear Schrodinger equation to define the scattering by the solution function of the NLPDE; the second one is a rate equation, which updates the scattering data having the initial condition of the NLPDE as the scatterer. IST then reconstructs the potential function (scatterer) of the Schrodinger equation via the scattering data. In Chapter 5, derivations and proofs of the IST formulas are presented. Steps of applying IST to solve NLPDE for solitary solutions are illustrated in Chapter 6"--
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Add this copy of Nonlinear Waves and Inverse Scattering Transform to cart. $73.27, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2023 by World Scientific Publishing Europe Ltd.
Add this copy of Nonlinear Waves and Inverse Scattering Transform to cart. $76.55, like new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2023 by World Scientific Publishing Europe Ltd.
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Fine. Sewn binding. Cloth over boards. 200 p. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Nonlinear Waves and Inverse Scattering Transform to cart. $76.61, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2023 by World Scientific Publishing Europe Ltd.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Sewn binding. Cloth over boards. 200 p. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
