This paper focuses on obtaining a large number of exact solutions to the highly nonlinear
(3+ 1)-dimensional Yu–Toda–Sassa–Fukuyama (YTSF) equation, which is important in fluid …

Since water lies at the heart of sustainable development and climate change adaptation,
therefore, the objective of the present research work is to derive a new variety of analytical …

This paper is devoted to the study of symmetry group classification, and optimal subalgebras
of the three-dimensional Burgers equation, which describes nonlinear wave motion exhibits …

This paper studies an extended evolution equation of large-scale waves by means of
bilinear neural network method, which is obtained from local Cartesian coordinate system of …

The current paper recovers cubic–quartic optical solitons in fiber Bragg gratings having
polynomial law of nonlinear refractive index structures. Lie symmetry analysis is carried out …

Abstract The (2+ 1)-KP equation in its canonical generalized form ie cgKP relates to water
waves that propagate exclusively in straits or rivers, as opposed to unbounded surfaces …

The exact solutions of nonlinear partial differential equations are significant to analyze the
soliton nature of physical phenomena. Therefore, the Lie symmetry method is introduced to …

The current research employs a novel class of invariant solutions to Painlevé integrable
coupled Burgers equations. Many mathematical physics domains such as fluid dynamics …

The propagation of nonlinear solitary and shallow water waves can be examined by
nonlinear evolution equations. The dynamics of nonlinear behavior are described by exact …

为了实现多个蛇形机器人的编队控制, 该文提出一种基于误差约束的抗干扰路径跟随方法.
该方法使用高度耦合的动态频率补偿器来调整每个机器人的运动速度, 以确保编队成员之间位置 …