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Qualitative Theory of Dynamical Systems, 2023 The equation of the shallow water wave in oceanography and atmospheric science is extended to (3+1) dimensions, which is a known equation. To achieve this, an illustrative example of the VC generalized shallow water wave equation is provided to ...
Jalil Manafian, Mehrdad Lakestani
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Breather waves, rogue waves and complexiton solutions for a Zakharov–Kuznetsov equation
Journal of Geometry and Physics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Hongye, Wang, Yan
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Homoclinic breather and rogue wave solutions to Maccari equation
Computers & Mathematics with Applications, 2020The (2+1)-dimensional Maccari nonlinear system is given by \begin{align*} \mathrm{i}u_t+u_{xx}+u v & =0\\ v_t + v_y + (|u|^2)_x & =0, \end{align*} where \(u=u(x,y,t)\) and \(v=v(x,y,t)\) are, respectively, complex- and real-valued functions of the temporal variable \(t\) and the spatial variables \(x\) and \(y\).
Ying Jiang, Da-Quan Xian, Xiao-Rong Kang
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International Journal of Nonlinear Sciences and Numerical Simulation, 2021
Abstract According to the homoclinic breather limit method, we obtain the homoclinic breather wave and rational wave of a nonlinear evolution differential equation. The n-soliton wave solutions are derived by utilizing the Hirota method. In addition, the graphs of these solutions are shown by selecting the appropriate parameters.
Zheng, Zhenzhen, He, Guoliang, Xu, Tao
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Abstract According to the homoclinic breather limit method, we obtain the homoclinic breather wave and rational wave of a nonlinear evolution differential equation. The n-soliton wave solutions are derived by utilizing the Hirota method. In addition, the graphs of these solutions are shown by selecting the appropriate parameters.
Zheng, Zhenzhen, He, Guoliang, Xu, Tao
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Physics Letters A, 2023
The authors present a comprehensive study on a \((3+1)\)-dimensional nonlinear Geng equation, a subject of considerable interest in the field of mathematical physics. Utilizing the Hirota bilinear method, the authors delve into the calculation of first- to fourth-order solutions of the equation, thereby contributing significantly to the existing body ...
Li, Bang-Qing, Ma, Yu-Lan
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The authors present a comprehensive study on a \((3+1)\)-dimensional nonlinear Geng equation, a subject of considerable interest in the field of mathematical physics. Utilizing the Hirota bilinear method, the authors delve into the calculation of first- to fourth-order solutions of the equation, thereby contributing significantly to the existing body ...
Li, Bang-Qing, Ma, Yu-Lan
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Homoclinic breather-wave solutions for Sine–Gordon equation
Communications in Nonlinear Science and Numerical Simulation, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dai, Zhengde, Xian, Daquan
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Homoclinic breather-wave solutions and doubly periodic wave solutions for coupled KdV equations
Applied Mathematics and Computation, 2011The paper aims at obtaining exact solutions for a Korteweg-de Vries equation nonlinearly coupled to an extra linear equation, \[ u_t+\alpha u_{xxx} -buu_x +cvv_x=0, \] \[ v_t + dv_{xxx} - euv_x +fu_xv = 0. \] It was shown in previous works that this system admits a large variety of exact solutions in certain particular cases. In this work, the Painlevé
Hong Wang, Da-Quan Xian, Han-lin Chen
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Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrödinger equation
Applied Mathematics Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian-Tian Zhang, Lian-Li Feng
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BIFURCATIONS OF TRAVELING WAVE AND BREATHER SOLUTIONS OF A GENERAL CLASS OF NONLINEAR WAVE EQUATIONS
International Journal of Bifurcation and Chaos, 2005Bifurcations of a general class of traveling wave solutions are analyzed. In particular, the existence of solitary wave, kink and anti-kink wave solutions, and uncountably infinite periodic wave solutions and breather solutions of a general class of traveling wave equations is proved. Also, the existence of breaking wave solution is discussed in detail.
Jibin Li 0001, Guanrong Chen
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Volume 2: Structures, Safety and Reliability, 2012
During the design process of floating structures, different specifications have to be aligned such as the range of application, the warranty of economical efficiency as well as the reliability and are an inevitable integral part of the evaluation process during the design stage.
Clauss, Günther F. +3 more
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During the design process of floating structures, different specifications have to be aligned such as the range of application, the warranty of economical efficiency as well as the reliability and are an inevitable integral part of the evaluation process during the design stage.
Clauss, Günther F. +3 more
openaire +1 more source