Bifurcations of traveling wave solutions for the magma equation

DOI10.1016/j.amc.2009.11.035zbMath1203.35195OpenAlexW2034357517MaRDI QIDQ609336

Yixiang Geng, Ji-Xiang Zhang

Publication date: 30 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.11.035

zbMATH Keywords

solitary wave solutionperiodic wave solutiontheory of bifurcationbreaking wave solutionmagma equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Soliton equations (35Q51) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (4)

On the existence of global solution of the system of equations of one-dimensional motion of a viscous liquid in a deformable viscous porous medium ⋮ On Local Solvability of the System of the Equations of One Dimensional Motion of Magma ⋮ Filtration of Liquid in a Non-isothermal Viscous Porous Medium ⋮ Mathematical Model of Fluids Motion in Poroelastic Snow-ice Cover

Uses Software

• Maple

Cites Work

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• Analytical solutions of the magma equations for molten rocks in a granular matrix
• Symmetries and nonlocal conservation laws of the general magma equation
• Implicit solitary wave solutions of the generalized magma equation
• Traveling wave solutions for a class of nonlinear dispersive equations
• Exact travelling wave solutions for the \((n + 1)\)-dimensional double sine- and sinh-Gordon equations
• Painlevé analysis and similarity reductions for the magma equation
• Approximate solutions for magmon propagation from a reservoir
• Nonlinear waves in compacting media
• Degenerate dispersive equations arising in the study of magma dynamics
• BIFURCATIONS OF TRAVELING WAVE AND BREATHER SOLUTIONS OF A GENERAL CLASS OF NONLINEAR WAVE EQUATIONS
• BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR FOUR CLASSES OF NONLINEAR WAVE EQUATIONS
• Symmetries and differential equations
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

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