Geodesic
Nonlinear longitudinal waves in inhomogeneous rods
Zapiski Nauchnykh Seminarov POMI, Interference waves in layered media. Part I, Tome 99 (1980), pp. 64-73 
I. A. Molotkov; S. A. Vakulenko. Nonlinear longitudinal waves in inhomogeneous rods. Zapiski Nauchnykh Seminarov POMI, Interference waves in layered media. Part I, Tome 99 (1980), pp. 64-73. http://geodesic.mathdoc.fr/item/ZNSL_1980_99_a6/
@article{ZNSL_1980_99_a6,
     author = {I. A. Molotkov and S. A. Vakulenko},
     title = {Nonlinear longitudinal waves in inhomogeneous rods},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {64--73},
     year = {1980},
     volume = {99},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1980_99_a6/}
}
TY  - JOUR
AU  - I. A. Molotkov
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TI  - Nonlinear longitudinal waves in inhomogeneous rods
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1980
SP  - 64
EP  - 73
VL  - 99
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1980_99_a6/
LA  - ru
ID  - ZNSL_1980_99_a6
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%A S. A. Vakulenko
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%J Zapiski Nauchnykh Seminarov POMI
%D 1980
%P 64-73
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%U http://geodesic.mathdoc.fr/item/ZNSL_1980_99_a6/
%G ru
%F ZNSL_1980_99_a6

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The equation for longitudinal waves in bars taking into account of a nonlinearity, dispersion and inhomogeneity is obtained. This equation is the perturbed equation of Korteweg–de Vries. A perturbance method for solution of Cauchy problems for this equation is found. The obtained solution describes the soliton deformation under the influence of the bar inhomogeneity.