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## Archive ouverte HAL - On the Galilean invariance of some dispersive wave equations

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Web of Science You must be logged in with an active subscription to view this. Keywords symmetry group , group-invariant solution , partial differential equation , weak symmetry group. Publication Data.

## Open Physics

ISSN print : Publisher: Society for Industrial and Applied Mathematics. Peter J. Olver and Philip Rosenau. Cited by On the geometry of the Clairin theory of conditional symmetries for higher-order systems of PDEs with applications. Differential Geometry and its Applications 67 , Journal of Mathematical Analysis and Applications :1, Physica Scripta 94 :6, Reports on Mathematical Physics 83 :1, Journal of Physics Communications 3 :3, Theoretical and Mathematical Physics :1, Applied Mathematics and Computation , Physics of Fluids 30 :9, Journal of Physics: Conference Series , International Journal of Non-Linear Mechanics , Journal of Geometry and Physics , Advances in Mathematical Physics , Nonlinear Dynamics.

Nonlinear Reaction-Diffusion Systems, Symmetry 9 :1, 3.

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Symmetry 8 , Journal of Mathematical Physics 57 , International Journal of Non-Linear Mechanics 81 , Communications in Nonlinear Science and Numerical Simulation 28 , Journal of Mathematical Analysis and Applications :2, Physics of Plasmas 22 :2, Journal of Physics A: Mathematical and Theoretical 48 :1, Journal of Nonlinear Mathematical Physics 21 :4, Applied Mathematical Modelling 38 , Studies in Applied Mathematics :1, Theoretical and Mathematical Physics :3, Abstract and Applied Analysis , Journal of Physics A: Mathematical and Theoretical 46 , Geometry , II: an exceptional case.

Nonlinear Dynamics 67 :4, Journal of Mathematical Physics 53 :2, Computer Physics Communications :2, Pramana 76 :1, Journal of Physics A: Mathematical and Theoretical 43 , Communications in Nonlinear Science and Numerical Simulation 15 , Physics of Plasmas 17 , Journal of Engineering Mathematics 67 :4, Symmetry 2 :2, Applied Mathematics and Mechanics 30 :4, Communications in Theoretical Physics 51 :1, Communications in Theoretical Physics 50 :4, Analysis and Applications 06 , Communications in Theoretical Physics 49 :6, Journal of Physics A: Mathematical and Theoretical 41 , Communications in Theoretical Physics 49 :3, Journal of Nonlinear Mathematical Physics 15 :sup1, Journal of Mathematical Physics 48 , Journal of Physics A: Mathematical and Theoretical 40 , Nonlinear Oscillations 10 :3, Nonlinear Dynamics 42 :3, Journal of Physics A: Mathematical and General 38 , Journal of Symbolic Computation 38 :6, Journal of Physics A: Mathematical and General 37 , Applied Mathematics Letters 17 , Multiple Waves..

Journal of Nonlinear Mathematical Physics 11 :1, Handbook of Nonlinear Partial Differential Equations.

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Journal of Physics A: Mathematical and General 36 :5, Applied Mathematics Letters 16 :2, Journal of Mathematical Physics 44 :6, Journal of Physics A: Mathematical and General 35 , Journal of Mathematical Physics 42 :8, Journal of Physics A: Mathematical and General 34 , Reports on Mathematical Physics 47 :3, Journal of Physics A: Mathematical and General 34 :3, However, in doing so one hides the Hilbert space structure of the theory and the mathematical problems connected with the fact that state vectors are, in general, only square integrable and not necessarily differentiable functions.

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