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Helmholtz equation has been considered with appropriate boundary conditions on the basis of small amplitude hypothesis.
To do that, we develop a perturbative argument around the spatially inhomogeneous equation for elastic hard spheres and we take advantage of the recent paper [14] where this equation has been considered.
In Example 6 an equation has been considered that does not have any Lie symmetry.
The fractional telegraph equation has been considered recently by several authors.
This equation has been considered by Olmos and Shizgal [11] while solving Fisher's equation by pseudo-spectral method.
This class of KP equation has been considered to study both electron and ion-acoustic waves in a plasma in the case of positive and negative dispersion [7, 8].
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Both heuristics and first principles methods based on the radiative transfer equation have been considered for slurry solar photoreactors.
Indeed, countless variations and generalizations of this equation have been considered as they proved to be the right mathematical tool to address important problems.
Contributions of the temperature dependency for the cohesive parameter, the Dieterici's and the expression derived for the description of association empirically attached to a generalized van der Waals-like equation, have been considered.
In developing each scheme, a separate formulation approach for the governing equations has been considered.
It is well known the global attractor on autonomous thermoelastic coupled structure equations has been considered in many papers.
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