SERGYEYEV, Artur, Sergiy I. SKURATIVSKYI and Vsevolod A. VLADIMIROV. Compacton solutions and (non)integrability of nonlinear evolutionary PDEs associated with a chain of prestressed granules. Nonlinear Analysis: Real World Applications. Oxford, England: Elsevier Limited, 2019, vol. 47, June, p. 68-84. ISSN 1468-1218. Available from: https://dx.doi.org/10.1016/j.nonrwa.2018.09.005. |
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@article{32822, author = {Sergyeyev, Artur and Skurativskyi, Sergiy I. and Vladimirov, Vsevolod A.}, article_location = {Oxford, England}, article_number = {June}, doi = {http://dx.doi.org/10.1016/j.nonrwa.2018.09.005}, keywords = {Chains of pre-stressed granules; Compactons; Integrable systems; Conservation laws; Stability test; Numerical simulation}, language = {eng}, issn = {1468-1218}, journal = {Nonlinear Analysis: Real World Applications}, title = {Compacton solutions and (non)integrability of nonlinear evolutionary PDEs associated with a chain of prestressed granules}, url = {https://www.sciencedirect.com/science/article/pii/S1468121818310101?via%3Dihub}, volume = {47}, year = {2019} }
TY - JOUR ID - 32822 AU - Sergyeyev, Artur - Skurativskyi, Sergiy I. - Vladimirov, Vsevolod A. PY - 2019 TI - Compacton solutions and (non)integrability of nonlinear evolutionary PDEs associated with a chain of prestressed granules JF - Nonlinear Analysis: Real World Applications VL - 47 IS - June SP - 68-84 EP - 68-84 PB - Elsevier Limited SN - 14681218 KW - Chains of pre-stressed granules KW - Compactons KW - Integrable systems KW - Conservation laws KW - Stability test KW - Numerical simulation UR - https://www.sciencedirect.com/science/article/pii/S1468121818310101?via%3Dihub L2 - https://www.sciencedirect.com/science/article/pii/S1468121818310101?via%3Dihub N2 - We present the results of study of a nonlinear evolutionary PDE (more precisely, a one-parameter family of PDEs) associated with the chain of pre-stressed granules. The PDE in question supports solitary waves of compression and rarefaction (bright and dark compactons) and can be written in Hamiltonian form. We investigate inter alia integrability properties of this PDE and its generalized symmetries and conservation laws. For the compacton solutions we perform a stability test followed by the numerical study. In particular, we simulate the temporal evolution of a single compacton, and the interactions of compacton pairs. The results of numerical simulations performed for our model are compared with the numerical evolution of corresponding Cauchy data for the discrete model of chain of pre-stressed elastic granules. ER -
SERGYEYEV, Artur, Sergiy I. SKURATIVSKYI and Vsevolod A. VLADIMIROV. Compacton solutions and (non)integrability of nonlinear evolutionary PDEs associated with a chain of prestressed granules. \textit{Nonlinear Analysis: Real World Applications}. Oxford, England: Elsevier Limited, 2019, vol.~47, June, p.~68-84. ISSN~1468-1218. Available from: https://dx.doi.org/10.1016/j.nonrwa.2018.09.005.
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