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作者:Ghazala Akram , Iqra Zainab
来源:[J].Optik(IF 0.524), 2020, Vol.208
摘要:Abstract(#br)In this paper, Biswas–Milovic equation (BME) is investigated to find the exact solutions with the help of extended ( G ′ G 2 ) -expansion method and modified auxiliary equation (MAE) method. The solutions retrieved by these methods are expressed in the form of h...
作者:Eric Tovar , Haicheng Gu , Zhijun Qiao
来源:[J].Journal of Nonlinear Mathematical Physics(IF 0.569), 2017, Vol.24 (1), pp.29-40Taylor & Francis
摘要:... We derive a peaked soliton (peakon) solution, double-peakon solutions, and kink-peakon solutions. In particular, weak kink - peakon solution is the first time to address in the 2 + 1-dimensional integrable system.
作者:Kardell
来源:[J].Journal of Nonlinear Mathematical Physics(IF 0.569), 2015, Vol.22 (1), pp.1-16Taylor & Francis
摘要:... These solutions exhibit peakon creation, i.e., these solutions are smooth up until a certain finite time, at which a peak is created. We show that the functions are still weak solutions for those times where the peak lives. We also find similar unbounded solutions with peakon...
作者:Stephen C. Anco , Fatane Mobasheramini
来源:[J].Physica D: Nonlinear Phenomena(IF 1.669), 2017, Vol.355, pp.1-23Elsevier
摘要:Abstract(#br)Two integrable U ( 1 ) -invariant peakon equations are derived from the NLS hierarchy through the tri-Hamiltonian splitting method. A Lax pair, a recursion operator, a bi-Hamiltonian formulation, and a hierarchy of symmetries and conservation laws are obtained for bo...
作者:Wei Luo , Zhaoyang Yin
来源:[J].Journal of Differential Equations(IF 1.48), 2020, Vol.268 (4), pp.1307-1325Elsevier
摘要:... Finally, we verify the system possesses a class of peakon solutions in the sense of distributions.
作者:Shujun You , Boling Guo
来源:[J].Applied Mathematics Letters(IF 1.501), 2020, Vol.105Elsevier
摘要:Abstract(#br)After some remarks on a possible zero-curvature formulation we establish local well-posedness for the double extended cubic peakon system.
作者:Baoqiang Xia , Zhijun Qiao , Jibin Li
来源:[J].Communications in Nonlinear Science and Numerical Simulation(IF 2.773), 2018, Vol.63, pp.292-306Elsevier
摘要:... In the case b = 0 , peaked soliton (peakon), complex peakon, and multi-peakon solutions are studied. In particular, the two-peakon dynamical system is explicitly presented and their collisions are investigated in details. In the case b ≠ 0, the weak kink and kink-peakon...
作者:Weipeng Hu , Zichen Deng , Yu Zhang
来源:[J].Computer Physics Communications(IF 3.078), 2014, Vol.185 (7), pp.2020-2028Elsevier
摘要:... (2) the stable jump discontinuity of the shockpeakon for the Degasperis–Procesi equation is reproduced by simulating the peakon–antipeakon collision process of the quasi-Degasperis–Procesi equation. First, the multi-symplectic structure and several local conservation...
作者:Alina Chertock , Jian-Guo Liu , Terrance Pendleton
来源:[J].Applied Numerical Mathematics(IF 1.152), 2015, Vol.93, pp.30-46Elsevier
摘要:... These solutions are characterized by a discontinuity at the peak in the wave shape and are thus called peakon solutions. We apply a particle method to the Camassa–Holm equation and show that the nonlinear interaction among the peakon solutions resembles an elastic collisio...
作者:Engui Fan , Manwai Yuen
来源:[J].Applied Mathematics Letters(IF 1.501), 2019, Vol.97, pp.53-59Elsevier
摘要:... In this paper, we investigate whether the rotation-two-component Camassa–Holm system admits peakon-delta weak solutions in distribution sense. As special reductions, all peakon solutions for generalized Dullin–Gottwald–Holm system, two-component Camassa–Holm system,...

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