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Kong, Ying; Xin, Le; Qiu, Qirong; Han, Lijia

Exact periodic wave solutions for the modified Zakharov equations with a quantum correction. (English) Zbl 1412.81140

Appl. Math. Lett. 94, 140-148 (2019).
Summary: In this paper, exact solutions for the modified Zakharov equations with a quantum correction are studied. We construct the periodic wave solutions for the quantum Zakharov equations by applying the dynamical systems method and F-expansion method. Moreover, when the modulus \(h\) of the Jacobian elliptic functions converges to 1, the periodic solutions will converge to the corresponding solitary wave solutions.

Cited in 6 Documents

MSC:

81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory
81P40 Quantum coherence, entanglement, quantum correlations
82D10 Statistical mechanics of plasmas
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
35C08 Soliton solutions

Keywords:

modified Zakharov equations; quantum correction; periodic wave solution
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Full Text: DOI

References:

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