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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Chinese Journal of Physics

ISSN

0577-9073

e-ISSN

—

Svazek periodika

80

Číslo periodika v rámci svazku

December

Stát vydavatele periodika

TW - Čínská republika (Tchaj-wan)

Počet stran výsledku

12

Strana od-do

385-396

Kód UT WoS článku

000896973500005

EID výsledku v databázi Scopus

2-s2.0-85142435863