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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 solutions for an integrable (3+1)-dimensional combined pKP–BKP equation
Chaos, Solitons and FractalsAbdul-Majid Wazwaz
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Rogue wave solutions and rogue-breather solutions to the focusing nonlinear Schrödinger equation
Communications in Theoretical PhysicsAbstract Based on the long wave limit method, the general form of the second-order and third-order rogue wave solutions to the focusing nonlinear Schrödinger equation are given by introducing some arbitrary parameters. The interaction solutions between the first-order rogue wave and one-breather wave are constructed by taking a long wave
Si-Jia Chen, Xing Lü
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International Journal of Computational Mathematics, 2021
In this study, lump and two classes of interaction, multi-stripe, and breather wave solutions for the (3+1)-dimensional generalized shallow water equation are presented via the Hirota bilinear method.
Dipankar Kumar +4 more
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In this study, lump and two classes of interaction, multi-stripe, and breather wave solutions for the (3+1)-dimensional generalized shallow water equation are presented via the Hirota bilinear method.
Dipankar Kumar +4 more
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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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Modern physics letters B, 2021
In this study, we successfully apply Hirota’s bilinear method (HBM) to retrieve the different wave structures of the general [Formula: see text]th dispersionless Dym equation by considering the test function approaches.
M. Bilal, Shafqat Ur-Rehman, J. Ahmad
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In this study, we successfully apply Hirota’s bilinear method (HBM) to retrieve the different wave structures of the general [Formula: see text]th dispersionless Dym equation by considering the test function approaches.
M. Bilal, Shafqat Ur-Rehman, J. Ahmad
semanticscholar +1 more source
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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