TY - JOUR
T1 - Dynamical interaction of solitary, periodic, rogue type wave solutions and multi-soliton solutions of the nonlinear models
AU - Mamunur Roshid, Md
AU - Abdeljabbar, Alrazi
AU - Aldurayhim, A.
AU - Rahman, M. M.
AU - Roshid, Harun Or
AU - Alshammari, Fahad Sameer
N1 - Funding Information:
This work was supported by the Khalifa University , Abu Dhabi, United Arab Emirates and Prince Sattambin Abdulaziz University , Al-Kharj [ 11942 ].
Publisher Copyright:
© 2022 The Author(s)
PY - 2022/12
Y1 - 2022/12
N2 - This study presents a modification form of modified simple equation method, namely new modified simple equation method. Multiple waves and interaction of soliton solutions of the Phi-4 and Klein-Gordon models are investigated via the scheme. Consequently, we derive various novels and more general interaction, and multiple wave solutions in term of exponential, hyperbolic, and trigonometric, rational function solutions combining with some free parameters. Taking special values of the free parameters, interaction of two dark bells, interaction of two bright bells, two kinks, two periodic waves, kink and soliton, kink-rogue wave solutions are obtained which is the key significance of this method. Properties of the achieved solutions have many useful descriptions of physical behavior, correlated to the solutions are attained in this work through plentiful 3D figures, density plot and 2D contour plots. The results derived may increase the prospect of performing significant experimentations and carry out probable applications.
AB - This study presents a modification form of modified simple equation method, namely new modified simple equation method. Multiple waves and interaction of soliton solutions of the Phi-4 and Klein-Gordon models are investigated via the scheme. Consequently, we derive various novels and more general interaction, and multiple wave solutions in term of exponential, hyperbolic, and trigonometric, rational function solutions combining with some free parameters. Taking special values of the free parameters, interaction of two dark bells, interaction of two bright bells, two kinks, two periodic waves, kink and soliton, kink-rogue wave solutions are obtained which is the key significance of this method. Properties of the achieved solutions have many useful descriptions of physical behavior, correlated to the solutions are attained in this work through plentiful 3D figures, density plot and 2D contour plots. The results derived may increase the prospect of performing significant experimentations and carry out probable applications.
KW - Interaction solution
KW - Klein-Gordon model
KW - Multiple waves
KW - New modified simple equation method
KW - Phi4 model
UR - http://www.scopus.com/inward/record.url?scp=85143877510&partnerID=8YFLogxK
U2 - 10.1016/j.heliyon.2022.e11996
DO - 10.1016/j.heliyon.2022.e11996
M3 - Article
AN - SCOPUS:85143877510
SN - 2405-8440
VL - 8
JO - Heliyon
JF - Heliyon
IS - 12
M1 - e11996
ER -