576 citations · 1.9k across the 50 of their papers we have counts for
Showing 1998 · math.DGShow all
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math.DG1998★ 92 cited
Multisymplectic geometry, covariant Hamiltonians, and water waves
Jerrold E. Marsden, Steve Shkoller
This paper concerns the development and application of the multisymplectic Lagrangian and Hamiltonian formalism for nonlinear partial differential equations. In this theory, soluti…
math.DG1998★ 576 cited
Multisymplectic geometry, variational integrators, and nonlinear PDEs
Jerrold E. Marsden, George W. Patrick, Steve Shkoller
This paper presents a geometric-variational approach to continuous and discrete mechanics and field theories. Using multisymplectic geometry, we show that the existence of the fund…