Using a method of expansion similar to Chapman-Enskog expansion, a new formal perturbation scheme based on high frequency approximation has been constructed. The scheme leads to an eikonal equation in which the leading order amplitude appears. The transport equation for the amplitude has been deduced with an error O(epsilon (2)) where epsilon is the small parameter appearing in the high frequency approximation. On a length scale over which Choquet-Bruhats theory is valid, this theory reduces to the former. The theory is valid on a much larger length scale and the leading order terms give the weakly nonlinear ray theory (WNLRT) of Prasad, which has been very successful in giving physically realistic results and also in showing that the caust...
Asymptotic ray theory can be used to describe many seismic signals. Provided the wavefronts and ampl...
Applications of a WKBJ-type `ray ansatz' to obtain asymptotic solutions of the Helmholtz equation in...
AbstractIn 1956 Whitham gave a nonlinear theory for computing the intensity of an acoustic pulse of ...
Using a method of expansion similar to Chapman- Enskog expansion, a new formal perturbation scheme b...
Huygens' method of wavefront construction can be extended in a natural way to the construction of a ...
A proof of the famous Huygens" method of wavefront construction is reviewed and it is shown that the...
<!-- @page { size: 21cm 29.7cm; margin: 2cm } --> A new asymptotic method is derived for...
We first review a general formulation of ray theory and write down the conservation forms of the equ...
Huyghen's method of wavefront construction is equivalent to integrating the ray equations. This arti...
This work was partially supported by the Turkish Academy of Sciences.In the present work, employing ...
The propagation of a two-dimensional weakly nonlinear wavefront into a polytropic gas in a uniform s...
We formulate a multi-scale perturbation technique to asymptotically solve weakly nonlinear hyperboli...
We use the equations of weakly nonlinear ray theory (WNLRT), developed by us over a number of years,...
The weakly nonlinear theory of baroclinic wave trains and wave packets is examined by the use of sys...
A general method is developed for finding approximate "asymptotic " solutions to a large c...
Asymptotic ray theory can be used to describe many seismic signals. Provided the wavefronts and ampl...
Applications of a WKBJ-type `ray ansatz' to obtain asymptotic solutions of the Helmholtz equation in...
AbstractIn 1956 Whitham gave a nonlinear theory for computing the intensity of an acoustic pulse of ...
Using a method of expansion similar to Chapman- Enskog expansion, a new formal perturbation scheme b...
Huygens' method of wavefront construction can be extended in a natural way to the construction of a ...
A proof of the famous Huygens" method of wavefront construction is reviewed and it is shown that the...
<!-- @page { size: 21cm 29.7cm; margin: 2cm } --> A new asymptotic method is derived for...
We first review a general formulation of ray theory and write down the conservation forms of the equ...
Huyghen's method of wavefront construction is equivalent to integrating the ray equations. This arti...
This work was partially supported by the Turkish Academy of Sciences.In the present work, employing ...
The propagation of a two-dimensional weakly nonlinear wavefront into a polytropic gas in a uniform s...
We formulate a multi-scale perturbation technique to asymptotically solve weakly nonlinear hyperboli...
We use the equations of weakly nonlinear ray theory (WNLRT), developed by us over a number of years,...
The weakly nonlinear theory of baroclinic wave trains and wave packets is examined by the use of sys...
A general method is developed for finding approximate "asymptotic " solutions to a large c...
Asymptotic ray theory can be used to describe many seismic signals. Provided the wavefronts and ampl...
Applications of a WKBJ-type `ray ansatz' to obtain asymptotic solutions of the Helmholtz equation in...
AbstractIn 1956 Whitham gave a nonlinear theory for computing the intensity of an acoustic pulse of ...