Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

integrable systems --- geometry --- algebra --- topology --- Differential equations

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

On April 29, 1814 Napoleon landed on the island of Elba, surrounded with a personal army of 1200 men. The allies, Russia, Prussia, England and Austria, hadforcedhimintoexileafteranumberofverycostlydefeats;hewasdeprived ofallhistitles,butcouldkeepthetitleofEmperorofElba . Historytellsusthat each morning he took long walks in the sun, reviewed his army each midday anddiscussedworldmatterswithnewlyappointedadvisors,followingthesame pattern everyday, to the great surprise of Campbell, the British of?cer who was to keep an eye on him. All this made everyone believe he was settled there for good. Napoleononcesaid:Elbaisbeautiful,butabitsmall. Elbawasde?nitely a source of inspiration; indeed, the early morning, March 6, 1815, Metternich, the chancellor of Austria was woken up by one of his aides with the stunning news that Napoleon had left Elba with his 1200 men and was marching to Paris with little resistance; A few days later he took up his throne again in the Tuileries. In spite of his insatiable hunger for battles and expansion, he is remembered as an important statesman. He was a pioneer in setting up much of the legal, administrative and political machinery in large parts of continental Europe. We gathered here in a lovely and quaint ?shing port, Marciana Marina on theislandofElba,tocelebrateoneofthepioneersofintegrablesystems,Hirota Sensei,andthisattheoccasionofhisseventiethbirthday. Trainedasaphysicist in his home university Kyushu University, Professor Hirota earned his PhD in '61 at Northwestern University with Professor Siegert in the ?eld of Quantum Statistical mechanics . He wrote a widely appreciated Doctoral dissertation on FunctionalIntegralrepresentationofthegrandpartitionfunction .

Mathematical physics --- wiskunde --- fysica --- Bilinear forms --- Continuous geometries --- Discrete geometry --- Geometric quantization --- Formes bilinéaires --- Géométries continues --- Géométrie discrète --- Quantification géométrique --- Congresses --- Congresses. --- Congrès --- EPUB-LIV-FT LIVPHYSI SPRINGER-B --- Forms [Bilinear ] --- Mathematical physics. --- Mathematical Methods in Physics. --- Physical mathematics --- Physics --- Mathematics --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Bilinear integrable systems --- NATO

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

adjoint-symmetry --- one-form --- symmetry --- vector field --- geometrical formulation --- nonlocal conservation laws --- differential coverings --- polynomial and rational invariants --- syzygy --- free resolution --- discretization --- differential invariants --- invariant derivations --- symplectic --- contact spaces --- Euler equations --- shockwaves --- phase transitions --- symmetries --- integrable systems --- Darboux-Bäcklund transformation --- isothermic immersions --- Spin groups --- Clifford algebras --- Euler equation --- quotient equation --- contact symmetry --- optimal investment theory --- linearization --- exact solutions --- Korteweg–de Vries–Burgers equation --- cylindrical and spherical waves --- saw-tooth solutions --- periodic boundary conditions --- head shock wave --- Navier–Stokes equations --- media with inner structures --- plane molecules --- water --- Levi–Civita connections --- Lagrangian curve flows --- KdV type hierarchies --- Darboux transforms --- Sturm–Liouville --- clamped --- hinged boundary condition --- spectral collocation --- Chebfun --- chebop --- eigenpairs --- preconditioning --- drift --- error control

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Research & information: general --- Mathematics & science --- adjoint-symmetry --- one-form --- symmetry --- vector field --- geometrical formulation --- nonlocal conservation laws --- differential coverings --- polynomial and rational invariants --- syzygy --- free resolution --- discretization --- differential invariants --- invariant derivations --- symplectic --- contact spaces --- Euler equations --- shockwaves --- phase transitions --- symmetries --- integrable systems --- Darboux-Bäcklund transformation --- isothermic immersions --- Spin groups --- Clifford algebras --- Euler equation --- quotient equation --- contact symmetry --- optimal investment theory --- linearization --- exact solutions --- Korteweg–de Vries–Burgers equation --- cylindrical and spherical waves --- saw-tooth solutions --- periodic boundary conditions --- head shock wave --- Navier–Stokes equations --- media with inner structures --- plane molecules --- water --- Levi–Civita connections --- Lagrangian curve flows --- KdV type hierarchies --- Darboux transforms --- Sturm–Liouville --- clamped --- hinged boundary condition --- spectral collocation --- Chebfun --- chebop --- eigenpairs --- preconditioning --- drift --- error control