TY - JOUR
T1 - A Reliable Study of New Nonlinear Equation
T2 - Two-Mode Kuramoto–Sivashinsky
AU - Jaradat, H. M.
AU - Alquran, Marwan
AU - Syam, Muhammed I.
N1 - Publisher Copyright:
© 2018, Springer (India) Private Ltd., part of Springer Nature.
PY - 2018/4/1
Y1 - 2018/4/1
N2 - In this letter, we use the sense made by Korsunsky (Phys Lett A 185:174–176, 1994) to establish a new nonlinear equation called the two-mode Kuramoto–Sivashinsky (TMKS). A finite series in terms of the Tanh function is proposed to be a candidate solution to this new model. Also, we study possible solutions of TMKS by means of the modified simplified bilinear method where a new Cole-Hopf transformation is considered. The new model describes the propagation of two different wave modes simultaneously.
AB - In this letter, we use the sense made by Korsunsky (Phys Lett A 185:174–176, 1994) to establish a new nonlinear equation called the two-mode Kuramoto–Sivashinsky (TMKS). A finite series in terms of the Tanh function is proposed to be a candidate solution to this new model. Also, we study possible solutions of TMKS by means of the modified simplified bilinear method where a new Cole-Hopf transformation is considered. The new model describes the propagation of two different wave modes simultaneously.
KW - Simplified Bilinear method
KW - Solitons
KW - Tanh-Expansion method
KW - Two-mode Kuramoto–Sivashinsky
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U2 - 10.1007/s40819-018-0497-7
DO - 10.1007/s40819-018-0497-7
M3 - Article
AN - SCOPUS:85050742817
SN - 2349-5103
VL - 4
JO - International Journal of Applied and Computational Mathematics
JF - International Journal of Applied and Computational Mathematics
IS - 2
M1 - 64
ER -