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Modified Hirota bilinear method to (3+1)-D variable coefficients generalized shallow water wave equation
Variable coefficients (3+1)-generalized shallow water wave equation (GSWE) is investigated via modified Hirota bilinear method. This method is...
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Simple and high-order N-solitons of the nonlocal generalized Sasa–Satsuma equation via an improved Riemann–Hilbert method
In this paper, we investigate the nonlocal generalized Sasa–Satsuma (ngSS) equation based on an improved Riemann–Hilbert method (RHM). Different from...
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Darboux transformation and soliton solutions of the coupled generalized Sasa-Satsuma equation
In this paper, we construct the Darboux transformation of the coupled generalized Sasa-Satsuma equation using the gauge transformation between Lax...
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A direct symbolic computation of center-controlled rogue waves to a new Painlevé-integrable (3+1)-D generalized nonlinear evolution equation in plasmas
This paper proposes a new integrable generalized (3+1)-dimensional nonlinear partial differential equation. We apply the standard Painlevé test to...
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Multiple bifurcation solitons, lumps and rogue waves solutions of a generalized perturbed KdV equation
The perturbed KdV equation has many applications in mechanics and sound propagation in fluids. The aim of this manuscript is to study novel crucial...
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Derivation of anomalously interacting lumps for the (2+1)-dimensional generalized Korteweg–de Vries equation via degeneracy of lump chains
This paper investigates two different novel approaches to degenerate from normally interacting lump chains to anomalously interacting lumps for the...
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Bilinearization and new center-controlled N-rogue solutions to a (3+1)-dimensional generalized KdV-type equation in plasmas via direct symbolic approach
This research studies rogue wave solutions with center parameters of a generalized (3+1)-dimensional KdV-type equation in plasma physics. Using a...
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Application of Bell polynomial in the generalized (2+1)-dimensional Nizhnik–Novikov–Veselov equation
In this article, Bell polynomial method is used to study the (2+1)-dimensional NNV equation integrability and solve the problem. Firstly, a bilinear...
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Fixed-time Synchronization in the Delayed Multiplex Networks by the Auxiliary-system Approach
This paper investigates the generalized synchronization of the multiplex networks with time-varying delay by using the auxiliary-system approach. A...
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Novel evolutionary behaviors of localized wave solutions and bilinear auto-Bäcklund transformations for the generalized (3+1)-dimensional Kadomtsev–Petviashvili equation
Water waves are common phenomena in nature, which have attracted extensive attention of researchers. In the present paper, we first deduce five kinds...
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Establishment of Constraint Relation of Robot Dynamics Equation Based on Kinematic Influence Coefficients Method
Due to the diversity of work requirements and environment, the number of degrees of freedom (DOFs) and the complexity of structure of industrial...
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Enforcing generalized conditional symmetry in physics-informed neural network for solving the KdV-like equation with Robin initial/boundary conditions
In this work, we extend the generalized conditional symmetry enhanced physics-informed neural network (gsPINN) to study the partial differential...
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Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics
This article investigates a nonlinear fifth-order partial differential equation (PDE) in two-mode waves. The equation generalizes two-mode...
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Analyzing multi-peak and lump solutions of the variable-coefficient Boiti–Leon–Manna–Pempinelli equation: a comparative study of the Lie classical method and unified method with applications
This research article investigates the (2+1)-dimensional variable-coefficient Boiti–Leon–Manna–Pempinelli equation using the Lie classical method and...
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Trajectory Tracking Control of 3-RPS Parallel Mechanism Based on Udwadia-Kalaba Equation
The trajectory tracking control of 3-RPS parallel mechanisms which severs to motion control is widely used in industrial, medical, aerospace and...
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The Auxiliary Model Based Hierarchical Estimation Algorithms for Wave Peak Frequency Identification
This paper studies the wave peak frequency identification using the stochastic gradient algorithm. The identification model is derived by using the...
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Auxiliary Model-based Continuous Mixed p-norm Algorithm for Output-error Moving Average Systems Using the Multi-innovation Optimization
This paper discusses the parameter estimation problems for the output-error moving average (OEMA) systems under stochastic environments. The...
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Enhancing process mean monitoring efficiency using extended-EWMA control chart with auxiliary information
For monitoring the outputs of production processes, statistical process control (SPC) is widely used. The control chart (CC) stands as the most...
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Variable coefficient (2+1)D KP equation for Rossby waves and its dynamical analysis
We investigated the (2+1)D nonlinear Rossby waves with variable coefficients. When the group velocity is considered as a function of time in the...
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Angles-Only Onboard Initial Relative Orbit Determination with Auxiliary Satellite
Onboard initial relative orbit determination (IROD) by using angle measurements is the key to Space Situational Awareness. The camera offset...