Results 241 to 250 of about 3,970,466 (307)
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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
semanticscholar +1 more source
Homoclinic breather and rogue wave solutions to Maccari equation
Computers and 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
exaly +3 more sources
International Journal of Modern Physics B, 2022
In this paper, we study the generalized ([Formula: see text])-dimensional Hietarinta equation which is investigated by utilizing Hirota’s bilinear method. Also, the bilinear form is obtained, and the N-soliton solutions are constructed.
S. Kılıç
semanticscholar +1 more source
In this paper, we study the generalized ([Formula: see text])-dimensional Hietarinta equation which is investigated by utilizing Hirota’s bilinear method. Also, the bilinear form is obtained, and the N-soliton solutions are constructed.
S. Kılıç
semanticscholar +1 more source
, 2021
In this paper, the investigation is conducted on a (2 + 1)-dimensional extended Boiti–Leon–Manna–Pempinelli equation for an incompressible fluid. Via the Riemann theta function, periodic-wave solutions are derived, and breather-wave solutions are ...
Yuan Shen +4 more
semanticscholar +1 more source
In this paper, the investigation is conducted on a (2 + 1)-dimensional extended Boiti–Leon–Manna–Pempinelli equation for an incompressible fluid. Via the Riemann theta function, periodic-wave solutions are derived, and breather-wave solutions are ...
Yuan Shen +4 more
semanticscholar +1 more source
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
semanticscholar +1 more source
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
Breathers for a Relativistic Nonlinear Wave Equation
Archive for Rational Mechanics and Analysis, 2002The authors of this interesting paper study real-valued solutions to a relativistic nonlinear wave equation of the type \[ \partial^2 u/\partial t^2(x,t)=\partial^2 u/\partial x^2(x,t)+F(u(x,t)), \] \(x\in \mathbb R\). It is assumed that \(u\in C(\mathbb R ^2)\) and the nonlinear term \(F(u)\) is a distribution of the type \[ F(u)= \sum\limits_{k\in ...
Bensoussan, Alain +2 more
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Solitons and Breathers of Electromagnetic Wave in Superlattices
International Journal of Theoretical Physics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian, Qiang, Wang, Jingping
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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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Journal of Applied Analysis & Computation, 2021
Under investigation is a (3+1)-dimensional generalized breaking soliton equation in nonlinear media. The interaction solution between lump wave and N-soliton (N = 2,3,4) are derived.
Jian-Guo Liu +3 more
semanticscholar +1 more source
Under investigation is a (3+1)-dimensional generalized breaking soliton equation in nonlinear media. The interaction solution between lump wave and N-soliton (N = 2,3,4) are derived.
Jian-Guo Liu +3 more
semanticscholar +1 more source
Freak Waves and Giant Breathers
Volume 2: Structures, Safety and Reliability, 2008It is assumed the solitons could propagate only on the surface of finite depth fluid. We show numerically that the strong localized perturbation of free fluid surface could propagate on the surface of deep fluid also. They are not solitons in a “classical” sense of this term; they are “breathers”.
Vladimir E. Zakharov +1 more
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