Hirota and Sine-Gordon equation (original) (raw)
Related papers
Conservation laws and symmetries of generalized sine-Gordon equations
Communications in Mathematical Physics, 1981
Symplectically invariant soliton equations from non-stretching geometric curve flows
Journal of Physics A: Mathematical and Theoretical, 2012
On the Hamiltonian and Lagrangian structures of time-dependent reductions of evolutionary PDEs
Differential Geometry and its Applications, 2002
Journal of Physics: Conference Series, 2015
On periodic waves for sine- and sinh-Gordon equations
Journal of Mathematical Analysis and Applications, 2011
Integrable equations of the dispersionless Hirota type
2009
On Multicomponent mKDV Equations on Symmetric Spaces of DIII - Type and Their Reductions
2012
The symmetries and conservation laws of some Gordon-type equations in Milne space-time
Pramana, 2013
Symmetry Reduction and Soliton-Like Solutions for the Generalized Korteweg-De Vries Equation
Lobachevskii Journal of Mathematics, 2018
Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type
Symmetry, Integrability and Geometry: Methods and Applications, 2008
The Dirac equation and integrable systems of KP type
J. Phys. A: Math. Gen. 29 641
Melnikov analysis for multi-symplectic PDEs
2002
Open Physics
Multisymplectic Geometry, Variational Integrators, and Nonlinear PDEs
Communications in Mathematical Physics, 1998
The Action-Angle Transformation for the Korteweg-de Vries Equation
Research Reports in Physics, 1990
Hamiltonian Formalism for Nonlinear SchrODinger Equations and Sine-Gordon Equations
Journal of the London Mathematical Society, 1987
Elements of a Theory of Symplectic Covariant Schrödinger Equations in Phase Space
2005
Eprint Arxiv Nlin 0202009, 2002
Journal of Physics A-mathematical and General, 2000
Poisson and Symplectic Structures, Hamiltonian Action, Momentum and Reduction
arXiv: Differential Geometry, 2020
Conservation laws and symmetries of time-dependent generalized KdV equations
Discrete & Continuous Dynamical Systems - S
A note on the symplectic structure on the dressing group in the sinh-Gordon model
Physics Letters B, 1996
On the Numerical Solution of the Sine–Gordon Equation
Journal of Computational Physics, 1997
Applied Mathematics and Computation, 2012
Анатолій Прикарпатський, Jan L Cieśliński
Symmetries and Exact Solutions of a (2 + 1)-Dimensional Sine-Gordon System
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1996
Nonlinear Dynamics, 2018
Generalized symmetries and conservation laws of (1 + 1)-dimensional Klein–Gordon equation
Journal of Mathematical Physics
On integrability of evolution equations and representation theory
Contemporary Mathematics, 2001
Conservation laws of the Hirota-Maxwell-Bloch system and its reductions
Journal of Physics: Conference Series, 2017
On Symplectic Reduction in Classical Mechanics
Philosophy of Physics, 2007
Joseph Krasilshchik, Paul Kersten
2003
Integrable nonlinear Klein-Gordon equations and Toda lattices
Communications in Mathematical Physics, 1980