Overtaking collisions of m shock waves and interactions of n(n -> infinity)-lump, m(m -> infinity)-solitons, τ(τ -> infinity)-periodic waves solutions to a generalized (2+1)-dimensional new KdV model
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F22%3A00381515" target="_blank" >RIV/68407700:21340/22:00381515 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.cjph.2022.06.002" target="_blank" >https://doi.org/10.1016/j.cjph.2022.06.002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cjph.2022.06.002" target="_blank" >10.1016/j.cjph.2022.06.002</a>
Alternative languages
Result language
angličtina
Original language name
Overtaking collisions of m shock waves and interactions of n(n -> infinity)-lump, m(m -> infinity)-solitons, τ(τ -> infinity)-periodic waves solutions to a generalized (2+1)-dimensional new KdV model
Original language description
We consider a new generalized (2+1)-dimensional KdV model to investigate m (m -> infinity) shock and n (n -> infinity) breather wave solutions via two integral schemes. For the treatment of the model in an auxiliary equation approach, we first convert a nonlinear Burger equation to an ordinary differential equation (ODE) through a certain transformation. This ODE is used as an auxiliary equation of the method to obtain m (m -> infinity) shock wave solutions of the model. For different values of the parameters, we present head on and overtaking collisions with scattering ways of particle of the m (m -> infinity) shock wave solutions. We construct n soliton solutions of the model by using Hirota-bilinear approach. We obtain one lump type breather waves, interactions of one breather wave with a kink wave, interactions of two lump type breather waves by choosing complex conjugate values of free parameters in the n-soliton solutions of the model. Finally, we introduce two lemmas, a theorem and few corollaries on the hybrid interaction (n -> infinity lumps, m -> infinity solitons and tau -> oo periodic waves) solutions of the model. The theories and results are illustrated with adequate examples and suitable graphs.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Chinese Journal of Physics
ISSN
0577-9073
e-ISSN
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Volume of the periodical
80
Issue of the periodical within the volume
December
Country of publishing house
TW - TAIWAN (PROVINCE OF CHINA)
Number of pages
12
Pages from-to
385-396
UT code for WoS article
000896973500005
EID of the result in the Scopus database
2-s2.0-85142435863