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Existence of Generalized Solitary Wave Solutions of the Coupled KdV–CKdV System
Qualitative Theory of Dynamical Systems, 2022The paper under review studies the existence of generalized solitary wave solutions to the following coupled KdV-CKdV system \[ \begin{cases} u_t+2bu_\xi+au_{\xi\xi\xi}=-2b(uv)_\xi,\\ v_t+bv_\xi+bvv_\xi+cv_{\xi\xi\xi}=-b(|u|^2)_\xi, \end{cases}\tag{1} \] where \(a,b,c\in\mathbb R\) are constants.
Haijing Li, Shengfu Deng
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Conservation Laws for CKdV and BSSK Systems
Journal of Partial Differential Equations, 2015Kang, Zhouzheng
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(1+1)-dimensional m-cKdV, g-cKdV integrable systems, and (2+1)-dimensional m-cKdV hierarchy
Canadian Journal of Physics, 2008A few isospectral problems are introduced by referring to that of the cKdV equation hierarchy, for which two types of integrable systems called the (1 + 1)-dimensional m-cKdV hierarchy and the g-cKdV hierarchy are generated, respectively, whose Hamiltonian structures are also discussed by employing a linear functional and the quadratic-form identity ...
Y Zhang, H Tam
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The direct method for multisolitons and two-hump solitons in the Hirota-Satsuma system
Physics Letters, Section A: General, Atomic and Solid State Physics, 2020The coupled Korteweg-de Vries (cKdV) system, originally proposed by Hirota and Satsuma [1] , modeling the interaction of two long waves evolving with different dispersion relations, is considered. Multisoliton solutions are explicitly found in the Hirota-
Hugo PARRA Prado, Luis A Cisneros-Ake
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A study on a nonlocal coupled KdV system
Nonlinear Dynamics, 2022Xi-Zhong Liu, Liu Xi-Zhong
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Integrability and BRST invariance from BF topological theory
Journal of Physics A: Mathematical and Theoretical, 2022We consider the Becchi, Rouet, Stora and Tyutin (BRST) invariant effective action of the non-abelian BF topological theory in two dimensions with gauge group Sl(2,R) .
A. Restuccia, A. Sotomayor
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Long‐Wave Limit and Solitary Waves of the Two‐Dimensional Vector Fermi–Pasta–Ulam–Tsingou System
Studies in applied mathematics (Cambridge)We investigate the continuous limit problem of the two‐dimensional vector Fermi–Pasta–Ulam–Tsingou (FPUT) lattice with diagonal and nearest‐neighbor interactions.
Yu Guo, Yicheng Liu
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Nonlinear water waves in channels of arbitrary shape
Journal of Fluid Mechanics, 1992The generalized channel Boussinesq (gcB) two-equation model and the forced channel Korteweg–de Vries (cKdV) one-equation model previously derived by the authors are further analysed and discussed in the present study.
M. H. Teng, T. Y. Wu
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Three-Dimensional Self-Gravito-Acoustic Solitary Waves in a Degenerate Quantum Plasma System
Plasma Physics Reports, 2020A. Mannan +5 more
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