Results 41 to 50 of about 278,413 (313)

Lump, multi-wave, kinky breathers, interactional solutions and stability analysis for general (2 + 1)-rth dispersionless Dym equation

Results in Physics, 2021
The Lump, multi-wave, breather, interactional solutions and stability analysis for the general r-th dispersionless Dym equation are obtained by some fruitful transformations.
S. Ahmed, R. Ashraf, Aly R. Seadawy, S.T. R. Rizvi, M. Younis, Ali Althobaiti, Ahmed M. El-Shehawi   +6 more
doaj   +1 more source

Multi-wave, homoclinic breather,

, 2021
In this article, we construct multi-wave, homoclinic breather, M-shaped rational and periodic cross kink wave solutions for coupled-Higgs equation (CHE) by using distinct transformations.
S. T. R. Rizvi, M. A. Ashraf, A. Bashir, Dumitru Baleanu, M. Younis, A. R. Seadawy   +5 more
core   +1 more source

Multi-wave, breather wave and lump solutions of the Boiti–Leon–Manna–Pempinelli equation with variable coefficients

Results in Physics, 2020
In this paper, a variable-coefficient Boiti–Leon–Manna–Pempinelli equation is to be investigated. We obtain abundant multi-wave, breather wave and lump solutions by using the three waves method, the homoclinic breather approach and the Hirota’s bilinear ...
Jian-Guo Liu, Wang-Ping Xiong
doaj   +1 more source

Collision phenomena among the solitons, periodic and Jacobi elliptic functions to a (3+1)-dimensional Sharma-Tasso-Olver-like model

Results in Physics, 2022
In this manuscript, we consider a (3+1)-dimensional Sharma-Tasso-Olver-like (STOL) model, which can be used to describe dispersive wave phenomena in optics, plasmas, quantum physics, and others.
Mohammad Safi Ullah, Harun-Or-Roshid, Fahad Sameer Alshammari, M. Zulfikar Ali   +3 more
doaj   +1 more source

Breather solutions of the nonlinear wave equation [PDF]

Communications on Pure and Applied Mathematics, 1991
We construct series solutions to all orders for breathers of Klein-Gordon equations, in powers of an amplitude parameter epsilon, under a sign condition on the coefficients of the expansion of the nonlinearity. All terms may be computed thanks to the properties of a 1D Schrödinger equation with two-soliton potential.
openaire   +2 more sources

New dynamical behaviors for a new extension of the Shallow water model

Results in Physics, 2022
The aim of this work, is to construct some novel solutions for a new extension of the shallow water model in (3+1)-dimensions. Based on two methods namely; simplified Hirota’s method and a long-wave method a class of solutions are reported.
Jian-Guo Liu, Hajar F. Ismael, Hasan Bulut   +2 more
doaj   +1 more source

Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation

Advances in Mathematical Physics, 2022
Most of the papers have explored the interactions between solitons with a zero background, while reports about exact solutions for nonzero background are rare.
Bao Wang, Zhiqiang Chen
doaj   +1 more source

Rational and Semi-Rational Solutions to the (2 + 1)-Dimensional Maccari System

Axioms, 2022
The KP hierarchy reduction method is one of the most reliable and efficient techniques for determining exact solitary wave solutions to nonlinear partial differential equations.
Yong Zhang, Huan-He Dong, Yong Fang
doaj   +1 more source

General breather and rogue wave solutions to the complex short pulse equation

, 2022
In the present paper, we attempt to construct both the breather and rogue wave solutions to the focusing complex short pulse (fCSP) equation via the KP–Toda reduction method.
Zhang, Yujuan, Ma, Ruyun, Feng, Bao-Feng
core   +1 more source

Two-Component Breather Solution of the Nonlinear Wave Equation

SSRN Electronic Journal, 2023
arXiv admin note: text overlap with arXiv:2107 ...
openaire   +2 more sources