Ion acoustic solitary wave solutions of two-dimensional nonlinear Kadomtsev-Petviashvili-Burgers equation in quantum plasma
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Publication:2977944
DOI10.1002/mma.4081zbMath1366.35141OpenAlexW2463406489MaRDI QIDQ2977944
Publication date: 20 April 2017
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.4081
mathematical methodsquantum plasmaion acoustic solitary wavesKadomtsev-Petviashvili-Burgers equation
PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Wave equation (35L05) Hydro- and aero-acoustics (76Q05) Statistical mechanics of plasmas (82D10) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Soliton solutions (35C08)
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Cites Work
- Stability analysis for Zakharov-Kuznetsov equation of weakly nonlinear ion-acoustic waves in a plasma
- Madelung fluid description on a generalized mixed nonlinear Schrödinger equation
- Benjamin-Feir instability in nonlinear dispersive waves
- Exact solutions of a two-dimensional nonlinear Schrödinger equation
- Comment on: ``Application of exp-function method for \((3+1)\)-dimensional nonlinear evolution equations [Comput. Math. Appl. 56 (2008) 1451-1456]
- Generalized solitary and periodic wave solutions to a \((2+1)\)-dimensional Zakharov-Kuznetsov equation
- Quantum ion acoustic solitary waves in electron-ion plasmas: a Sagdeev potential approach
- A direct bilinear Bäcklund transformation of a \((2+1)\)-dimensional Korteweg-de Vries-like model
- Dust-acoustic solitary waves in a magnetized dusty plasma with nonthermal electrons and trapped ions
- Multisoliton solutions in terms of double Wronskian determinant for a generalized variable-coefficient nonlinear Schrödinger equation from plasma physics, arterial mechanics, fluid dynamics and optical communications
- Analytic study on two nonlinear evolution equations by using the (\(G^{\prime}/G\))-expansion method
- Nonlinear wave solutions of the three-dimensional Zakharov-Kuznetsov-Burgers equation in dusty plasma
- Stability analysis solutions for nonlinear three-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation in a magnetized electron-positron plasma
- Exact soliton solutions of a \(D\)-dimensional nonlinear Schrödinger equation with damping and diffusive terms
- On the application of the Exp-function method to the KP equation for \(N\)-soliton solutions
- Soliton solutions and a Bäcklund transformation for a generalized nonlinear Schrödinger equation with variable coefficients from optical fiber communications
- New exact solutions for the KdV equation with higher order nonlinearity by using the variational method
- Constructing rational and multi-wave solutions to higher order NEEs via the Exp-function method
- Nonlinear Dispersive Rayleigh–Taylor Instabilities in Magnetohydrodynamic Flows
- Nonlinear Dispersive Instabilities in Kelvin–Helmholtz Magnetohydrodynamic Flows
- General soliton solutions for nonlinear dispersive waves in convective type instabilities