Exact explicit solutions of the nonlinear Schrödinger equation coupled to the Boussinesq equation

DOI10.1016/S0252-9602(17)30488-5zbMath1038.35129OpenAlexW2783384762MaRDI QIDQ1418256

Zhi-Bin Li, Ruo-Xia Yao

Publication date: 2003

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(17)30488-5

zbMATH Keywords

Riccati equationscomputer algebrasolitary wave solutionmagnetized plasmacoupled Schrödinger-Boussinesq equationsmagnetosonic wavestraveling wave transformation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) NLS equations (nonlinear Schrödinger equations) (35Q55) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items (12)

Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations ⋮ Analysis of the linearly energy- and mass-preserving finite difference methods for the coupled Schrödinger-Boussinesq equations ⋮ Linearized and decoupled structure‐preserving finite difference methods and their analyses for the coupled <scp>Schrödinger–Boussinesq</scp> equations ⋮ Cut-off error splitting technique for conservative nonconforming VEM for \(N\)-coupled nonlinear Schrödinger-Boussinesq equations ⋮ Fully-decoupled conservative exponential approaches for the coupled nonlinear Schrödinger-Boussinesq equations ⋮ Time-splitting combined with exponential wave integrator Fourier pseudospectral method for Schrödinger-Boussinesq system ⋮ Conservative Fourier spectral scheme for the coupled Schrödinger-Boussinesq equations ⋮ Efficient mass- and energy-preserving schemes for the coupled nonlinear Schrödinger-Boussinesq system ⋮ Unconditional \(L^{\infty}\) convergence of a conservative compact finite difference scheme for the N-coupled Schrödinger-Boussinesq equations ⋮ Efficient energy-preserving wavelet collocation schemes for the coupled nonlinear Schrödinger-Boussinesq system ⋮ A local radial basis function-finite difference (RBF-FD) method for solving 1D and 2D coupled Schrödinger-Boussinesq (SBq) equations ⋮ Numerical analysis of a conservative linear compact difference scheme for the coupled Schrödinger–Boussinesq equations

Uses Software

• Maple

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