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1-soliton solution of the generalized Zakharov equation in plasmas by He’s variational principle. (English) Zbl 1185.35208
Summary: This paper obtains the 1-soliton solution to Zakharov equation with power law and dual-power law nonlinearities. He’s variational principle is used to carry out the integration of this equation.
MSC:
35Q51Soliton-like equations
35C08Soliton solutions of PDE
35A15Variational methods (PDE)
37K10Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies
References:
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[4]Hong, B.; Lu, D.; Sun, F.: The extended Jacobi elliptic functions expansion method and new exact solutions for the Zakharov equations, World journal of modelling and simulation 5, No. 3, 216-224 (2009)
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