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Keywords
(3)
Conservation Law
Direct Method
Nonlinear Wave Equation
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Derivation of conservation laws for a nonlinear wave equation modelling melt migration using Lie point symmetry generators
Derivation of conservation laws for a nonlinear wave equation modelling melt migration using Lie point symmetry generators,10.1016/j.cnsns.2005.05.010
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Derivation of conservation laws for a nonlinear wave equation modelling melt migration using Lie point symmetry generators
(
Citations: 1
)
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G. H. Maluleke
,
D. P. Mason
The derivation of conservation laws for a
nonlinear wave equation
modelling the migration of melt through the Earth’s mantle is considered. New conserved vectors which depend explicitly on the spatial coordinate are generated using the Lie point symmetry generators of the equation and known conserved vectors. It is demonstrated how conserved vectors that are conformally associated with a Lie point symmetry generator can be derived more simply than by the
direct method
by imposing the symmetry condition on the
conservation law
equation.
Journal:
Communications in Nonlinear Science and Numerical Simulation  COMMUN NONLINEAR SCI NUMER SI
, vol. 12, no. 4, pp. 423433, 2007
DOI:
10.1016/j.cnsns.2005.05.010
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Citations
(1)
Symmetries and nonlocal conservation laws of the general magma equation
(
Citations: 2
)
Raisa Khamitova
Journal:
Communications in Nonlinear Science and Numerical Simulation  COMMUN NONLINEAR SCI NUMER SI
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