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Publication: Traveling waves and conservation laws for complex MKdV-type equations

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Title Traveling waves and conservation laws for complex MKdV-type equations
Authors/Editors* S C Anco, M Mohiuddin, T Wolf
Where published* preprint
How published* Technical Report
Year* 2011
Volume
Number
Pages 23
Publisher
Keywords complex mKdV equation, conservation laws, travelling waves, solitary waves
Link http://lie.math.brocku.ca/twolf/papers/AMohiW11.pdf
Abstract
Travelling waves and conservation laws are studied for a wide class of U(1)- invariant complex mKdV equations containing the two known integrable generalizations of the ordinary (real) mKdV equation. The main results on travelling waves include deriving new complex solitary waves and kinks that generalize the well-known mKdV sech and tanh solutions. The main results on conservation laws consist of explicitly finding all 1st order conserved densities that yield phase-invariant counterparts of the well-known mKdV con- served densities for momentum, energy, and Galilean energy, and a new conserved density describing the angular twist of complex kink solutions.
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