TY - BOOK ID - 145544488 TI - Geometric Analysis of Nonlinear Partial Differential Equations AU - Lychagin, Valentin AU - Krasilshchik, Joseph PY - 2021 PB - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute DB - UniCat KW - Research & information: general KW - Mathematics & science KW - adjoint-symmetry KW - one-form KW - symmetry KW - vector field KW - geometrical formulation KW - nonlocal conservation laws KW - differential coverings KW - polynomial and rational invariants KW - syzygy KW - free resolution KW - discretization KW - differential invariants KW - invariant derivations KW - symplectic KW - contact spaces KW - Euler equations KW - shockwaves KW - phase transitions KW - symmetries KW - integrable systems KW - Darboux-Bäcklund transformation KW - isothermic immersions KW - Spin groups KW - Clifford algebras KW - Euler equation KW - quotient equation KW - contact symmetry KW - optimal investment theory KW - linearization KW - exact solutions KW - Korteweg–de Vries–Burgers equation KW - cylindrical and spherical waves KW - saw-tooth solutions KW - periodic boundary conditions KW - head shock wave KW - Navier–Stokes equations KW - media with inner structures KW - plane molecules KW - water KW - Levi–Civita connections KW - Lagrangian curve flows KW - KdV type hierarchies KW - Darboux transforms KW - Sturm–Liouville KW - clamped KW - hinged boundary condition KW - spectral collocation KW - Chebfun KW - chebop KW - eigenpairs KW - preconditioning KW - drift KW - error control UR - https://www.unicat.be/uniCat?func=search&query=sysid:145544488 AB - This book contains a collection of twelve papers that reflect the state of the art of nonlinear differential equations in modern geometrical theory. It comprises miscellaneous topics of the local and nonlocal geometry of differential equations and the applications of the corresponding methods in hydrodynamics, symplectic geometry, optimal investment theory, etc. The contents will be useful for all the readers whose professional interests are related to nonlinear PDEs and differential geometry, both in theoretical and applied aspects. ER -