Extended generalized \((Zakh\frac{G'}{G})\)-expansion method for solving the nonlinear quantum Zakharov-Kuznetsov equation

DOI10.1007/S11587-016-0276-XzbMath1355.35124OpenAlexW2467753775MaRDI QIDQ310507

K. A. E. Alurrfi, Elsayed M. E. Zayed

Publication date: 8 September 2016

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-016-0276-x

zbMATH Keywords

exact solutionsJacobi elliptic functionsextended generalized \((\frac{G'}{G})\)-expansionnonlinear quantum Zakharov-Kuznetsov (QZK) equationreductive perturbation techniqueseries of transformations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) PDEs in connection with quantum mechanics (35Q40) Solutions to PDEs in closed form (35C05) Parabolic equations and parabolic systems (35K99) Soliton solutions (35C08)

Related Items (7)

A generalized $(G'/G)$-expansion method for the loaded Korteweg—de Vries equation ⋮ Solitons and other exact solutions for two nonlinear PDEs in mathematical physics using the generalized projective Riccati equations method ⋮ Bright, periodic, compacton and bell-shape soliton solutions of the extended QZK and (3 + 1)-dimensional ZK equations ⋮ Solitons and other solutions for higher-order NLS equation and quantum ZK equation using the extended simplest equation method ⋮ On solving the (3+1)-dimensional NLEQZK equation and the (3+1)-dimensional NLmZK equation using the extended simplest equation method ⋮ Unnamed Item ⋮ Exact traveling wave solutions of the loaded modified Korteweg-de Vries equation

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