Results 51 to 60 of about 278,413 (313)
Frontiers in Physics, 2022 A class of generalized homoclinic solutions of the nonlinear Schrödinger (NLS) equation in 1+1 dimensions is studied. These are homoclinic breathers that are shown to be derivable from the ratio of Riemann theta functions for the genus-2 solutions of ...
Alfred R. Osborne
doaj +1 more source
Mathematics, 2022 This manuscript consist of diverse forms of lump: lump one stripe, lump two stripe, generalized breathers, Akhmediev breather, multiwave, M-shaped rational and rogue wave solutions for the complex cubic quintic Ginzburg Landau (CQGL) equation with ...
Aly R. Seadawy +2 more
doaj +1 more source
Energy thresholds for the existence of breather solutions and travelling waves on lattices [PDF]
Applicable Analysis, 2010 We discuss the existence of breathers and of energy thresholds for their formation in DNLS lattices with linear and nonlinear impurities. In the case of linear impurities we present some new results concerning important differences between the attractive and repulsive impurity which is interplaying with a power nonlinearity.
Cuevas-Maraver, Jesús +2 more
openaire +3 more sources
On the breather waves, lump solutions, two-wave solutions of (3+1) dimensional Martínez Alonso–Shabat equation [PDF]
, 2022 We effectively utilize Hirota’s bilinear method (HBM) in this article to scrutinize the diverse wave profiles to the (3 + 1) dimensional Martínez Alonso–Shabat equation when the test function approaches are taken into consideration.
Alshomrani, Ali S. +4 more
core +1 more source
, 2022 In this paper, we study the generalized (2 + 1)-dimensional Hietarinta equation which is investigated by utilizing Hirota's bilinear method. Also, the bilinear form is obtained, and the N-soliton solutions are constructed.
Kilic, Sıdıka Şule
core +1 more source
Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation
Open Physics, 2021 The aim of this article was to address the lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation with the aid of Hirota bilinear technique. This model concerns in a massive nematic liquid crystal director field.
Seadawy Aly R. +4 more
doaj +1 more source
, 2020 Hirota’s bilinear method is used in this paper to obtain some breather wave and lumps solutions to the Caudrey–Dodd–Gibbon equation through the symbolic Mathematica 12 package.
Bayram, Mustafa +3 more
core +1 more source
Correction to: Breather, kink and rogue wave solutions of Sharma ‑ Tasso ‑ Olver ‑ like equation
, 2023 In this paper, we consider the Sharma-Tasso-Olver-Like equation (STOLE) describing the dynamical behaviour of nonlinear dispersive waves in inhomogeneous medium.
Mahmoud, Khaled H. +3 more
core +1 more source
Nonlinear dynamics for different nonautonomous wave structure solutions
Open Physics, 2022 Based on the positive quadratic function method, the rich nonautonomous solutions of a generalized (2+1)-dimensional variable-coefficient breaking soliton equation with different wave structures are given.
Li Kun-Qiong
doaj +1 more source
Exact Periodic Wave, Bisoliton, and Various Breather Solutions for the Zakharov Equations [PDF]
Mathematical Problems in Engineering, 2015 The Zakharov equations, which involve the interactions between Langmuir and ion acoustic waves in plasma, are analytically studied. By using the method of Exp-function, the periodic wave, bisoliton, Akhmediev breather, Ma breather, and Peregrine breather of the Zakharov equations are obtained.
Wang, Heng +3 more
openaire +2 more sources