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Solitary Wave Solutions for a Generalized KdV Equation with High Power Nonlinearities
Journal of Physics: Conference Series, 2022 In current paper, a generalized KdV equation with high order nonlinearities has been investigated by the expansion and the ansatz method. The obtained solutions can be classified as periodic soliton solution, kink solution, triangular soliton solution ...
Rui Wu +7 more
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Nonlinear Engineering, 2023 In this work, the generalized scale-invariant analog of the Korteweg–de Vries equation is studied. For the first time, the tanh–coth methodology is used to find traveling wave solutions for this nonlinear equation.
González-Gaxiola Oswaldo +1 more
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Nonlinear Engineering, 2023 In this study, the Caputo-type fractional time-derivative is simulated by inserting a proportional time-delay into the field function of the perturbed-KdV equation.
Alquran Marwan +3 more
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Application of the Nonlinear Steepest Descent Method to the Coupled Sasa-Satsuma Equation
, 2021 We use spectral analysis to reduce Cauchy problem for the coupled SasaSatsuma equation to a 5 × 5 matrix Riemann-Hilbert problem. The upper and lower triangular factorisations of the jump matrix and a decomposition of the vector-valued spectral function ...
X. Geng
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Open Mathematics, 2023 We have established the existence and uniqueness of the local solution for (0.1)∂tu+∂x5u−u∂xu=0 ...
Zhao Xiangqing +2 more
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, 2021 A four-component nonlinear Schrödinger equation associated with a 5×5 Lax pair is investigated. A spectral problem is analysed and the Jost functions are used in order to derive a Riemann-Hilbert problem connected with the equation under consideration. N
Xinan Zhou
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Open Mathematics, 2022 In this paper, we study the initial boundary problem of fifth-order Korteweg-de Vries equation with nonlinear boundary values. First, we establish a so-called sharp boundary trace regularity associated with the linearized fifth-order Korteweg-de Vries ...
Zhao Xiangqing +2 more
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Open Mathematics, 2020 In this paper, we investigate the Cauchy problem for the N – abc family of Camassa-Holm type equation with both dissipation and dispersion. Furthermore, we establish the blow-up result of the positive solutions in finite time under certain conditions on ...
Zhang Zaiyun +5 more
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QUASIINVARIANT GAUSSIAN MEASURES FOR ONE-DIMENSIONAL HAMILTONIAN PARTIAL DIFFERENTIAL EQUATIONS
Forum of Mathematics, Sigma, 2015 We prove the quasiinvariance of Gaussian measures (supported by functions of increasing Sobolev regularity) under the flow of one-dimensional Hamiltonian partial differential equations such as the regularized long wave, also
NIKOLAY TZVETKOV
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Lump and Interaction Solutions of Linear PDEs in (3 + 1)-Dimensions
East Asian Journal on Applied Mathematics, 2019 Linear partial differential equations in (3 + 1)-dimensions consisting of all mixed second-order derivatives are considered, and Maple symbolic computations are made to construct their lump and interaction solutions, including lump-periodic, lumpkink and
W. Ma
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