Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method [PDF]
, 2010 The homotopy analysis method is applied to the Degasperis-Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump waves.
Abbasbandy, S., Parkes, E.J.
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Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method [PDF]
, 2009 The homotopy analysis method is applied to the short-pulse equation in order to find an analytic approximation to the known exact solitary upright-loop solution. It is demonstrated that the approximate solution agrees well with the exact solution.
Abbasbandy, S., Parkes, E.J.
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Extra dimensions and nonlinear equations [PDF]
Journal of Mathematical Physics, 2003 Solutions of nonlinear multi-component Euler–Monge partial differential equations are constructed in n spatial dimensions by dimension-doubling, a method that completely linearizes the problem. Nonlocal structures are an essential feature of the method.
Curtright, T., Fairlie, D.
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Spatiotemporal superposed rogue-wave-like breathers in a (3+1)-dimensional variable-coefficient nonlinear Schrödinger equation [PDF]
, 2016 A one-to-one relation between a variable-coefficient (3+1)-dimensional nonlinear Schrödinger equation with linear and parabolic potentials and the standard nonlinear Schrödinger equation is presented, and then superposed rogue-wave-like breather solution
Zhu, Hai-Ping, Chen, Ya-Jiang
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On nonlinear Meissner’s equation [PDF]
Nelineinaya Dinamika, 2011 Summary: A nonlinear equation of motion for a pendulum-type system is investigated. It differs from the classical equation of a mathematical pendulum in the presence of a parametric disturbance. The potential energy of the ``pendulum'' is a two-stage periodic step function of time.
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Lie symmetry analysis, conservation laws and analytical solutions for chiral nonlinear Schrödinger equation in (2 + 1)-dimensions [PDF]
, 2020 In this work, we consider the chiral nonlinear Schrödinger equation in (2 + 1)-dimensions, which describes the envelope of amplitude in many physical media.
Tian, Shou-Fu +3 more
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Applied Mathematics Letters, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarah Vaezzadeh +2 more
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Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC [PDF]
, 2011 Peer ...
Kaliyaperumal, Nakkeeran +2 more
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Lagrangian Averaging, Nonlinear Waves, and Shock Regularization [PDF]
, 2005 In this thesis, we explore various models for the flow of a compressible fluid as well as model equations for shock formation, one of the main features of compressible fluid flows.
Bhat, Harish Subrahmanya
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Nonlinear equations and wavelets
Mathematics and Computers in Simulation, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrei Ludu +2 more
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