Results 11 to 20 of about 554,383 (268)
A RELATIONSHIP BETWEEN RATIONAL AND MULTI-SOLITON SOLUTIONS OF THE BKP HIERARCHY [PDF]
Glasgow Mathematical Journal, 2005 15 ...
Nimmo, J.J.C., Orlov, A.Y.
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Analytic multi-soliton solutions of the generalized Burgers equation
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun Liu 0019 +3 more
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Novel soliton solutions and localized structures of KdV equation
Results in Physics, 2023 A (1 + 1)-dimensional Korteweg-de Vries (KdV) equation is studied. Using the extended Tanh-function method, the analytical soliton solutions are obtained by symbolic calculation, and the localized coherent structures containing the compacton, the peakon,
Shaofu Wang
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Multi-soliton rational solutions for some nonlinear evolution equations
Open Physics, 2016 The Korteweg-de Vries equation (KdV) and the (2+ 1)-dimensional Nizhnik-Novikov-Veselov system (NNV) are presented. Multi-soliton rational solutions of these equations are obtained via the generalized unified method.
Osman Mohamed S.
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Advances in Difference Equations, 2018 Discrete N-fold Darboux transformation (DT) is used to derive new bright and dark multi-soliton solutions of two higher-order Toda lattice equations. Propagation and elastic interaction structures of such soliton solutions are shown graphically.
Nan Liu, Xiao-Yong Wen, Ling Xu
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On soliton solutions of the Wu-Zhang system
Open Physics, 2016 In this paper, the extended tanh and hirota methods are used to construct soliton solutions for the WuZhang (WZ) system. Singular solitary wave, periodic and multi soliton solutions of the WZ system are obtained.
Inc Mustafa +5 more
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Multi-Soliton, Soliton–Cnoidal, and Lump Wave Solutions for the Supersymmetric Boussinesq Equation
MathematicsBased on the bosonization approach, the supersymmetric Boussinesq equation is converted into a coupled bosonic system. The symmetry group and the commutation relations of the corresponding bosonic system are determined through the Lie point symmetry ...
Peng-Fei Wei +7 more
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The (3+1)-dimensional Boussinesq equation: Novel multi-wave solutions
Results in Physics, 2023 The Boussinesq equation is a partial differential equation that describes the behavior of waves in shallow water. In this paper, we address some new dynamical behaviors to the (3+1)-dimensional Boussinesq equation, which are not constructed beforehand ...
Hajar Farhan Ismael
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Results in Physics, 2022 In this article, we study the generalized (3+1)-dimensional nonlinear wave equation where is investigated in soliton theory and by employing the Hirota’s bilinear method the bilinear form is obtained, and the N-soliton solutions are constructed.
Guiping Shen +5 more
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Multi-soliton solutions of affine Toda models [PDF]
Nuclear Physics B, 1995 Latex, 25 Pages, UB-TH ...
Zhu, Z., Caldi, D. G.
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