Journal
JOURNAL OF MATHEMATICAL PHYSICS
Volume 56, Issue 10, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.4931962
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Funding
- Research Project of China Scholarship Council [201208155076]
- Natural Science Foundation of Inner Mongolia [2013MS0118]
- College Science Research Project of Inner Mongolia [NJZZ12182, NJZY13268]
- program for Innovative Research Team of Hohhot University for Nationalities [CXTD1402]
- Natural Sciences and Engineering Research Council of Canada
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In this paper, the generalized Zakharov equations, which describe interactions between high- and low-frequency waves in plasma physics are studied from the perspective of Lie symmetry analysis and conservation laws. Based on some subalgebras of symmetries, several reductions and numerous new exact solutions are obtained. All of these solutions represent modified traveling waves. The obtained solutions include expressions involving Airy functions, Bessel functions, Whittaker functions, and generalized hypergeometric functions. Previously unknown conservation laws are constructed for the generalized Zakharov equations using the direct method. Profiles are presented for some of these new solutions. (C) 2015 AIP Publishing LLC.
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