Exact traveling wave solutions of the van der Waals normal form for fluidized granular matter

DOI10.1016/j.physa.2015.06.005zbMath1400.76092OpenAlexW2221307806MaRDI QIDQ1618728

Adel M. Morad, Aly Maher Abourabia

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2015.06.005

zbMATH Keywords

solitary wavesbubbles formationfluidized granular mattervan der Waals-like phase separation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Liquid-gas two-phase flows, bubbly flows (76T10) Granular flows (76T25) Traveling wave solutions (35C07)

Related Items (6)

Convolution representation of traveling pulses in reaction-diffusion systems ⋮ Propagation of dark-bright soliton and kink wave solutions of fluidized granular matter model arising in industrial applications ⋮ On analytical solution of a plasma flow over a moving plate under the effect of an applied magnetic field ⋮ Quadratic and Cubic Nonlinear Oscillators with Damping and Their Applications ⋮ Applicable symbolic computations on dynamics of small-amplitude long waves and Davey-Stewartson equations in finite water depth ⋮ Dispersion analysis and improved F-expansion method for space-time fractional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Application of Exp-function method to Symmetric Regularized Long Wave (SRLW) equation
• Exact solutions of the hierarchical Korteweg-de Vries equation of microstructured granular materials
• Analytical solutions of the magma equations for molten rocks in a granular matrix
• Exact traveling wave solution of nonlinear variants of the RLW and the PHI-four equations
• Exp-function method for nonlinear wave equations
• The extended Jacobian elliptic function expansion method and its application in the generalized Hirota-Satsuma coupled KdV system.
• Multiple soliton solutions for a new generalization of the associated Camassa-Holm equation by exp-function method
• Travelling solitary wave solutions for the nonlinear coupled Korteweg-de Vries system
• On solitary wave solutions for the two-dimensional nonlinear modified Kortweg-de Vries-Burger equation
• The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants
• PAINLEVÉ TEST AND SOME EXACT SOLUTIONS FOR (2+1)-DIMENSIONAL MODIFIED KORTEWEG–DE VRIES–BURGERS EQUATION
• Symbolic Software for the Painlevé Test of Nonlinear Ordinary and Partial Differential Equations
• Fully developed travelling wave solutions and bubble formation in fluidized beds
• Solitary waves in active-dissipative dispersive media
• Experimental investigation on the secondary instability of liquid-fluidized beds and the formation of bubbles
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations

This page was built for publication: Exact traveling wave solutions of the van der Waals normal form for fluidized granular matter