Lakshmanan, M.
(1974)
*Nonlinear chiral dispersive waves*
Journal of Physics A: Mathematical, Nuclear and General, 7
(8).
pp. 889-897.
ISSN 0301-0015

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Official URL: http://iopscience.iop.org/0301-0015/7/8/003

Related URL: http://dx.doi.org/10.1088/0305-4470/7/8/003

## Abstract

Whitham's theory of nonlinear water waves is applied to a classical field with the lagrangian density L=1/2((( delta ^{mu} phi )( delta _{mu} phi )-m^{2} phi ^{2})/(1+ lambda phi ^{2})). This is the isoscalar analogue of a chiral invariant SU(2)(X)SU(2) lagrangian with symmetry breaking term included. The corresponding field equation admits simple harmonic plane-wave solutions. The author found that the important field quantities of these waves, namely the wavenumber k and amplitude A obey a system of first- order partial differential equations. When the coupling parameter lambda is negative in sign, the system is hyperbolic, which implies that any inhomogeneities in k and A propagate with certain (amplitude-dependent) velocities. These velocities, which are the nonlinear generalization of the group velocity in the Whitham sense, are calculated.

Item Type: | Article |
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Source: | Copyright of this article belongs to Institute of Physics. |

ID Code: | 84969 |

Deposited On: | 28 Feb 2012 12:04 |

Last Modified: | 28 Feb 2012 12:04 |

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