Asymptotic step-like solutions of the singularly perturbed Burgers equation
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DOI: 10.1063/5.0150685
Abstract: This paper deals with a problem of asymptotic step-like solutions of the Burgers equation with variable coefficients and a small parameter. By means of the nonlinear Wentzel–Kramers–Brillouin method, the algorithm of constructing these asymptotic solutions… read more here.
Keywords: like solutions; step like; solutions singularly; burgers equation ... See more keywords
Particle-like solutions in the generalized SU(2) Proca theory
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DOI: 10.1088/1475-7516/2023/04/032
Abstract: The generalized SU(2) Proca theory is a vector-tensor modified gravity theory where the action is invariant under both diffeomorphisms and global internal transformations of the SU(2) group. This work constitutes the first approach to investigate… read more here.
Keywords: theory; generalized proca; like solutions; particle like ... See more keywords
Symmetry Reduction and Soliton-Like Solutions for the Generalized Korteweg-De Vries Equation
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DOI: 10.1134/s1995080218090366
Abstract: We analyze the gKdV equation, a generalized version of Korteweg-de Vries with an arbitrary function f(u). In general, for a function f(u) the Lie algebra of symmetries of gKdV is the 2-dimensional Lie algebra of… read more here.
Keywords: soliton like; like solutions; korteweg vries; lie algebra ... See more keywords