Results 1 to 10 of about 5,872 (126)

Unveiling solitary and twinning kink solitons in (2+1)-dimensional modified Zakharov–Kuznetsov equation arising in electronics [PDF]

Scientific Reports
In recent years, discovering and examining novel soliton solutions to nonlinear models that emerge in the disciplines of science and engineering have received noticeable fascination from researchers, as these solutions shed light on the models ...
M. Mossa Al-sawalha, Saima Noor, Rasool Shah, Humaira Yasmin   +3 more
doaj   +2 more sources

Soliton dynamics in the $ (2+1) $-dimensional Nizhnik-Novikov-Veselov system via the Riccati modified extended simple equation method

AIMS Mathematics
The current study employs a transformation-based analytical technique, namely Riccati modified extended simple equation method (RMESEM) to construct and examine soliton phenomena in a prominent $ (2+1) $-dimensional mathematical model namely Nizhnik ...
Naveed Iqbal, Meshari Alesemi
doaj   +2 more sources

Investigating the stochastic higher dimensional nonlinear Schrodinger equation to telecommunication engineering [PDF]

Scientific Reports
In this paper, we examine numerous soliton solutions of the nonlinear (3+1)-dimensional stochastic Schrödinger equation which is indispensable for describing wave propagation in noisy or random conditions, and catches the interaction between nonlinearity
Aziz Khan, Jan Muhammad, Usman Younas, Rajermani Thinakaran, Thabet Abdeljawad, Manar A. Alqudah   +5 more
doaj   +2 more sources

Chaotic analysis, hopf bifurcation and collision of optical periodic solitons in (2+1)-dimensional degenerated Biswas–Milovic equation with Kerr law of nonlinearity [PDF]

Scientific Reports
The main aim of this research study is to examine optical soliton phenomena in a (2+1)-dimensional Schrödinger class nonlinear model that degenerates from Biswas-Milovic equation (BME) using Riccati modified extended simple equation method (RMESEM). This
M. Mossa Al-sawalha, Saima Noor, Rasool Shah, Humaira Yasmin   +3 more
doaj   +2 more sources

Delving into quasi-periodic type optical solitons in fully nonlinear complex structured perturbed Gerdjikov–Ivanov equation [PDF]

Scientific Reports
In this study, we aim to explore the soliton phenomena in fully nonlinear complex perturbed Gerdjikov–Ivanov equation (PGIE). This model concerns with optical pulse transmission pursuant to perturbation impacts encompassing significant uses in optical ...
Zhimin Yan, Jinbo Li, Shoaib Barak, Salma Haque, Nabil Mlaiki   +4 more
doaj   +2 more sources

Analyzing the neural wave structures in the field of neuroscience [PDF]

Scientific Reports
Soliton theory research has a substantial impact on the application of nonlinear sciences in different fields. This has led to a significant increase in the focus of researchers on the study of solitary waves in recent years.
Usman Younas, Jan Muhammad, D. K. Almutairi, Aziz Khan, Thabet Abdeljawad   +4 more
doaj   +2 more sources

Bifurcations of solitary wave solutions for (two and three)-dimensional nonlinear partial differential equation in quantum and magnetized plasma by using two different methods

Results in Physics, 2018
In this research, we study new two techniques that called the extended simple equation method and the novel G′G-expansion method. The extended simple equation method depend on the auxiliary equation dϕdξ=α+λϕ+μϕ2 which has three ways for solving depends ...
Mostafa M.A. Khater, Aly R. Seadawy, Dianchen Lu   +2 more
doaj   +1 more source

Partial differential systems with nonlocal nonlinearities: Generation and solutions [PDF]

, 2018
We develop a method for generating solutions to large classes of evolutionary partial differential systems with nonlocal nonlinearities. For arbitrary initial data, the solutions are generated from the corresponding linearized equations.
Beck, Margaret, Doikou, Anastasia, Malham, Simon J. A., Stylianidis, Ioannis   +3 more
core   +2 more sources

Seven common errors in finding exact solutions of nonlinear differential equations [PDF]

, 2009
We analyze the common errors of the recent papers in which the solitary wave solutions of nonlinear differential equations are presented. Seven common errors are formulated and classified.
Abdou, Abdou, Abdou, Ablowitz, Ablowitz, Bekir, Bekir, Bekir, Bekir, Chen, Chun, Chun, Clarkson, Cole, Conte, Conte, Dai, Ebaid, Efimova, El-Wakil, El-Wakil, Erbas, Ganji, Gardner, He, He, Hirota, Hopf, Khani, Korteweg, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kuramoto, Lan, Lax, Li, Lou, Malfliet, Nikolai A. Kudryashov, Noor, Parkes, Peng, Polyanin, Soliman, Ugurlu, Wang, Wazwaz, Wazwaz, Wazwaz, Wazwaz, Wazzan, Weiss, Weiss, Wu, Xie, Yusufogˇlu, Zabusky, Zhang, Zhang, Zhang, Zhang, Öziş, Öziş   +75 more
core   +2 more sources

Meromorphic solutions of nonlinear ordinary differential equations [PDF]

, 2010
Exact solutions of some popular nonlinear ordinary differential equations are analyzed taking their Laurent series into account. Using the Laurent series for solutions of nonlinear ordinary differential equations we discuss the nature of many methods for
Aslan, Assas, Bateman, Benney, Berloff, Billingham, Burgers, Cohen, Cole, Dai, Drazin, Eremenko, Fu, Hopf, Inan, Kangalgil, Korteweg, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kuramoto, Köroglu, Li, Li, Nikolai A. Kudryashov, Parkes, Parkes, Salas, Sarma, Shang, Shkadov, Sivashinsky, Topper, Wang, Wazzan, Wen, Whitham, Yu, Zhang, Zhang, Zheng, Zhu   +52 more
core   +1 more source