Results 51 to 60 of about 902,254 (275)
Numerical Solitons of Generalized Korteweg-de Vries Equations
, 2005 We propose a numerical method for finding solitary wave solutions of generalized Korteweg-de Vries equations by solving the nonlinear eigenvalue problem on an unbounded domain. The artificial boundary conditions are obtained to make the domain finite. We
Camassa +7 more
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Tzitzeica solitons versus relativistic Calogero–Moser three-body clusters [PDF]
, 2009 We establish a connection between the hyperbolic relativistic Calogero–Moser systems and a class of soliton solutions to the Tzitzeica equation (also called the Dodd–Bullough–Zhiber–Shabat–Mikhailov equation).
Demoulin A. +9 more
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Alexandria Engineering JournalThe presented work concerns with some novel solutions of the (2+1)-dimensional Boussinesq equation (BE), which acts as an important model for shallow water wave.
Kang-Jia Wang +3 more
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Partial Differential Equations in Applied Mathematics, 2022 In this paper, the main work is to study the N-soliton solutions for the M-component nonlinear Schrödinger equations, the matrix Riemann–Hilbert problem is constructed for this integrable hierarchies by analyzing the block matrix spectral problem of the ...
Jian Li, Tiecheng Xia
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On the N-Solitons Solutions in the Novikov-Veselov Equation [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We construct the $N$-solitons solution in the Novikov-Veselov equation from the extended Moutard transformation and the Pfaffian structure. Also, the corresponding wave functions are obtained explicitly. As a result, the property characterizing the $N$-solitons wave function is proved using the Pfaffian expansion.
openaire +4 more sources
N-soliton solutions to the DKP equation and Weyl group actions
, 2006 We study soliton solutions to the DKP equation which is defined by the Hirota bilinear form, \[ {\begin{array}{llll} (-4D_xD_t+D_x^4+3D_y^2) \tau_n\cdot\tau_n=24\tau_{n-1}\tau_{n+1}, (2D_t+D_x^3\mp 3D_xD_y) \tau_{n\pm 1}\cdot\tau_n=0 \end{array} \quad n ...
Biondini G +7 more
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New dynamical behaviors for a new extension of the Shallow water model
Results in Physics, 2022 The aim of this work, is to construct some novel solutions for a new extension of the shallow water model in (3+1)-dimensions. Based on two methods namely; simplified Hirota’s method and a long-wave method a class of solutions are reported.
Jian-Guo Liu +2 more
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On symmetry preserving and symmetry broken bright, dark and antidark soliton solutions of nonlocal nonlinear Schrödinger equation [PDF]
Physics Letters, 2018 We construct symmetry preserving and symmetry broken N-bright, dark and antidark soliton solutions of a nonlocal nonlinear Schrodinger equation. To obtain these solutions, we use appropriate eigenfunctions in Darboux transformation (DT) method.
N. V. Priya +3 more
semanticscholar +1 more source
Scientific Reports, 2023 In this paper, the exact solutions of generalized nonlinear Schrödinger (GNLS) equation are obtained by using Darboux transformation(DT). We derive some expressions of the 1-solitons, 2-solitons and n-soliton solutions of the GNLS equation via ...
Chengcheng Fan, Li Li, Fajun Yu
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On the soliton solutions of a family of Tzitzeica equations [PDF]
, 2017 We analyze several types of soliton solutions to a family of Tzitzeica equations. To this end we use two methods for deriving the soliton solutions: the dressing method and Hirota method.
C. N. Babalic +2 more
semanticscholar +1 more source