Results 91 to 100 of about 1,242 (111)
Gevrey Regularity of the Global Attractor for Damped Forced KdV Equation on the Real Line
, 2018 O. Goubet
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Numerical Integrators for Dispersion-Managed KdV Equation
Communications in Computational Physics, 2022In this paper, we consider the numerics of the dispersion-managed Kortewegde Vries (DM-KdV) equation for describing wave propagations in inhomogeneous media.
Ying He null, Xiaofei Zhao
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, 2020
The Hirota-Satsuma-Ito equation in (2+1)-dimensions is studied and a new general representation of lump solutions is derived. If the lump soliton is generated by an exponentially localised line soliton, we obtain a lumpoff solution. On the other hand, if
Ling-Di Zhang
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The Hirota-Satsuma-Ito equation in (2+1)-dimensions is studied and a new general representation of lump solutions is derived. If the lump soliton is generated by an exponentially localised line soliton, we obtain a lumpoff solution. On the other hand, if
Ling-Di Zhang
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Efficient and Accurate Legendre Spectral Element Methods for One-Dimensional Higher Order Problems
, 2021Efficient and accurate Legendre spectral element methods for solving onedimensional higher order differential equations with high oscillatory or steep gradient solutions are proposed.
Yang Zhang
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Abundant Mixed Lump-Soliton Solutions to the BKP Equation
East Asian Journal on Applied Mathematics, 2018Applying Maple symbolic computations, we derive eight sets of mixed lumpsoliton solutions to the (2 + 1)-dimensional BKP equation. The solutions are analytic and allow the separation of lumps and line solitons.
Jin-Yun Yang
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Communications in Computational Physics, 2019
In this paper, we develop the Hamiltonian conservative and L2 conservative local discontinuous Galerkin (LDG) schemes for the Korteweg-de Vries (KdV) type equations with the minimal stencil. For the time discretization, we adopt the semiimplicit spectral
Qian Zhang, Yinhua Xia
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In this paper, we develop the Hamiltonian conservative and L2 conservative local discontinuous Galerkin (LDG) schemes for the Korteweg-de Vries (KdV) type equations with the minimal stencil. For the time discretization, we adopt the semiimplicit spectral
Qian Zhang, Yinhua Xia
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Novel Interaction Phenomena of Localised Waves in the (2 + 1)-Dimensional HSI Equation
, 2020Localised interaction solutions of the (2+1)-dimensional generalised HirotaSatsuma-Ito equation are studied. Using the Hirota bilinear form and Maple symbolic computations, we generate three classes of lump solutions.
Hongcai Ma
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Dynamics of Solitary Waves and Periodic Waves in a (3 + 1)-Dimensional Nonlinear Evolution Equation
East Asian Journal on Applied Mathematics, 2018The Hirota bilinear method is applied to a generalised (3 + 1)-dimensional nonlinear evolution equation. Using the Riemann theta function, we construct periodic wave solutions of the Eq. (1.1) and discuss their properties.
Xiu-Bin Wang
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Lump and Rogue Wave Solutions of a Reduced (3 + 1)-Dimensional Shallow Water Equation
East Asian Journal on Applied Mathematics, 2018Considering a reduced (3 + 1)-dimensional shallow water equation, we use Hirota formulation and symbolic calculation to derive positive lump solitons rationally localised in all directions of the (x , y)-plane.
Jia Dong
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Attractors for a Caginalp Phase-field Model with Singular Potential
Journal of Mathematical Study, 2018We consider a phase field model based on a generalization of the Maxwell Cattaneo heat conduction law, with a logarithmic nonlinearity, associated with Neumann boundary conditions.
Alain Miranville and Charbel Wehbe
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