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Oksana Kurkina, Efim Pelinovsky and Andrey Kurkin
The higher-order nonlinear Schrödinger equation with combined nonlinearities is derived by an asymptotic reduction from the (2+4) Korteweg?de Vries model for weakly nonlinear wave packets for the context of interfacial waves in a three-layer symmetric me...
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Husniddin Khayrullaev, Issa Omle and Endre Kovács
We systematically investigate the performance of numerical methods to solve Fisher?s equation, which contains a linear diffusion term and a nonlinear logistic term. The usual explicit finite difference algorithms are only conditionally stable for this eq...
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Ioannis K. Argyros, Santhosh George, Samundra Regmi and Christopher I. Argyros
Iterative algorithms requiring the computationally expensive in general inversion of linear operators are difficult to implement. This is the reason why hybrid Newton-like algorithms without inverses are developed in this paper to solve Banach space-valu...
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Murat Millidere, Ferhat Akgül, Kemal Leblebicioglu and James F. Whidborne
For developing high-fidelity flight simulations, an accurate and complete representation of the aerodynamic characteristics of the aircraft is necessary. To obtain a realistic aerodynamic database, system identification methods can be used to describe th...
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Jian Qin, Zhenquan Zhang, Xuening Song, Shuting Huang, Yanjun Liu and Gang Xue
In order to enhance the power generation efficiency and reliability of wave energy converters (WECs), an enclosed inertial WEC with a magnetic nonlinear stiffness mechanism (nonlinear EIWEC) is proposed in this paper. A mathematical model of the nonlinea...
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Elias Gravanis, Evangelos Akylas and Ernestos Nikolas Sarris
We construct approximate analytical solutions of the Boussinesq equation for horizontal unconfined aquifers in the buildup phase under constant recharge and zero-inflow conditions. We employ a variety of methods, which include wave solutions, self-simila...
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Mengzhen Wu, Xianghong Xu, Haochen Zhang, Rui Zhou and Jianshan Wang
As a traditional numerical simulation method for pantograph?catenary interaction research, the pantograph?catenary finite element model cannot be applied to the real-time monitoring of pantograph?catenary contact force, and the computational cost require...
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Zhaoming Li, Xinyan Yang, Lei Li and Hang Chen
In order to increase a nonlinear system?s state estimate precision, an iterated orthogonal simplex cubature Kalman filter (IOSCKF) is presented in this study for target tracking. The Gaussian-weighted integral is decomposed into a spherical integral and ...
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Christos Tzimopoulos, Kyriakos Papadopoulos, Nikiforos Samarinas, Basil Papadopoulos and Christos Evangelides
In this work, a novel fuzzy FEM (Finite Elements Method) numerical solution describing the recession flow in unconfined aquifers is proposed. In general, recession flow and drainage problems can be described by the nonlinear Boussinesq equation, while th...
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Anni Zhao, Arash Toudeshki, Reza Ehsani, Joshua H. Viers and Jian-Qiao Sun
The Delta robot is an over-actuated parallel robot with highly nonlinear kinematics and dynamics. Designing the control for a Delta robot to carry out various operations is a challenging task. Various advanced control algorithms, such as adaptive control...
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