New analytical solutions for propagation of small but finite amplitude ion-acoustic waves in a dense plasma

DOI10.1080/17455030.2015.1111543zbMath1367.35162OpenAlexW2180553047MaRDI QIDQ4976172

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Publication date: 27 July 2017

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2015.1111543

zbMATH Keywords

reductive perturbation techniqueRiccati equation mapping methodKorteweg-de Vries (K-dV) equationun-magnetized Thomas-Fermi plasma system

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Magnetohydrodynamics and electrohydrodynamics (76W05) Space charge waves (78A20)

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Cites Work

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• The generalizing Riccati equation mapping method in non-linear evolution equation: Application to \((2 + 1)\)-dimensional Boiti-Leon-Pempinelle equation
• The extended tanh method for new compact and noncompact solutions for the KP-BBM and the ZK-BBM equations
• Exact solutions for power-law regularized long-wave and \(R(m, n)\) equations with time-dependent coefficients
• Soliton solutions for time fractional coupled modified KdV equations using new coupled fractional reduced differential transform method
• Extended tanh-function method and its applications to nonlinear equations
• The Quantum Hydrodynamic Model for Semiconductor Devices
• Vortices in a Strongly Magnetized Electron–Positron–Ion Plasma

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