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Analytical Properties of Nonlinear Partial Differential Equations: with Applications to Shallow Water Models - Cheviakov, Alexei, and Shanghai Maritime University
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Nonlinear partial differential equations (PDE) are at the core of mathematical modeling. In the past decades and recent years, multiple analytical methods to study various aspects of the mathematical structure of nonlinear PDEs have been developed. Those aspects include C- and S-integrability, Lagrangian and Hamiltonian formulations, equivalence transformations, local and nonlocal symmetries, conservation laws, and more. Modern computational approaches and symbolic software can be employed to systematically derive and use ...

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Analytical Properties of Nonlinear Partial Differential Equations: with Applications to Shallow Water Models 2024, Springer International Publishing AG, Cham

ISBN-13: 9783031530739

Hardcover