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作者:Rui Cao , Qiulan Zhao , Lin Gao
来源:[J].Advances in Difference Equations(IF 0.76), 2019, Vol.2019 (1), pp.1-10Springer
摘要:... Then N-soliton solutions of nonlinear evolution equation are derived by the perturbation technique, and the periodic wave solutions for potential Kadomtsev–Petviashvili equation and ( ...
作者:Ata-ur-Rahman , Muhammad Khalid , Aurang Zeb
来源:[J].Brazilian Journal of Physics(IF 0.598), 2019, Vol.49 (5), pp.726-733Springer
摘要:Abstract(#br)The ion acoustic nonlinear periodic (cnoidal) waves are studied in an unmagnetized plasma consisting of cold ions and nonthermal electrons following Cairns distribution. By employing reductive perturbation method, the nonlinear Korteweg-de Vries (KdV) and modified Ko...
作者:Liu Jiangen , Wu Pinxia , Zhang Yufeng ...
来源:[J].Thermal Science(IF 0.838), 2017, Vol.21 (suppl. 1), pp.169-176DOAJ
摘要:In this paper, associating with the Hirota bilinear form, the three-wavemethod, which is applied to construct some periodic wave solutions of(3+1)-dimensional soliton equation, is a powerful approach to obtainperiodic solutions for many non-linear evolution equations in the integ...
作者:Shahab Ullah Khan , Muhammad Adnan , Shahzad Mahmood ...
来源:[J].Brazilian Journal of Physics(IF 0.598), 2019, Vol.49 (3), pp.379-390Springer
摘要:Abstract(#br)The propagation properties of electrostatic cnoidal waves (periodic waves) and solitons are studied in a magnetized electron-positron-ion (EPI) plasma bearing ion pressure anisotropy and superthermality. In a two-dimensional geometry, we considered the ions to be war...
作者:Yan-Ze Peng
来源:[J].Pramana(IF 0.562), 2004, Vol.62 (4), pp.933-941Springer
摘要:... Taking the coupled Schrödinger-KdV equation and DS equations as examples, abundant periodic wave solutions in terms of Jacobi elliptic functions are obtained. Under the limit conditions, soliton wave solutions are given.
作者:Anna Geyer , Dmitry E. Pelinovsky
来源:[J].Letters in Mathematical Physics(IF 2.415), 2017, Vol.107 (7), pp.1293-1314Springer
摘要:We consider stability of periodic travelling waves in the generalized reduced Ostrovsky equation with respect to co-periodic perturbations. Compared to the recent literature, we give a simple argument that proves spectral stability of all smooth periodic travelling waves inde...
作者:Qian-Min Huang , Yi-Tian Gao
来源:[J].Nonlinear Dynamics(IF 3.009), 2017, Vol.89 (4), pp.2855-2866Springer
摘要:Under investigation in this paper is a \((2 + 1)\) -dimensional extended shallow water wave equation. Bilinear form is obtained via the generalized dependent variable transformation. The N th-order analytic solutions are, respectively, obtained via the Wronskian and Pfaffian ...
作者:Ruomeng Li , Xianguo Geng
来源:[J].Applied Mathematics Letters(IF 1.501), 2020, Vol.102Elsevier
摘要:Abstract(#br)The rogue periodic wave solutions of the nonlinear Schrödinger equation and the modified KdV equation were discovered in 2018. The phenomenon of rogue periodic wave is new and very interesting, but little research has been done. In this letter, the rogue periodic wave...
作者:Shaowei Li , Weiguo Zhang , Xiaoshuang Bu
来源:[J].Journal of Mathematical Analysis and Applications(IF 1.05), 2017, Vol.449 (1), pp.96-126Elsevier
摘要:Abstract(#br)In this paper, we focus on studying the exact solitary wave solutions and periodic wave solutions of the generalized modified Boussinesq equation u t t − δ u t t x x − ( a 1 u + a 2 u 2 + a 3 u 3 ) x x = 0 , as well as the evolution relationship between the...
作者:Zhonglong Zhao , Yong Chen , Bo Han
来源:[J].Optik - International Journal for Light and Electron Optics(IF 0.524), 2017, Vol.140, pp.10-17Elsevier
摘要:... By using the bilinear Bäcklund transformation, we derive the one and two Riemann theta function periodic wave solutions of the KdV6 equation. The dynamical behaviors of the periodic wave solutions are analyzed by numerical simulations. Finally, we establish the relations...

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