Results 21 to 30 of about 3,940,396 (270)

The rogue wave and breather solution of the Gerdjikov-Ivanov equation [PDF]

Journal of Mathematical Physics, 2012
The Gerdjikov-Ivanov (GI) system of q and r is defined by a quadratic polynomial spectral problem with 2 × 2 matrix coefficients. Each element of the matrix of n-fold Darboux transformation (DT) for this system is expressed by a ratio of (n + 1) × (n + 1) determinant and n × n determinant of eigenfunctions, which implies the determinant representation ...
Xu, Shuwei, He, Jingsong
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Investigation on breather waves and rogue waves in applied mechanics and physics

Alexandria Engineering Journal, 2021
Nonlinear evolution equation is a research hot spot in the field of science and engineering. Recently, searching for breather and rogue wave solutions to nonlinear evolution equations has become a popular topic in nonlinear mathematical physics.
Xueai Yin, Ligang Chen, Jian Wang, Xin Zhang, Guoli Ma   +4 more
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N-soliton, breather, M-lump and interaction dynamics for a (2 + 1)-dimensional KdV equation with variable coefficients

Results in Physics, 2023
The main purpose of this paper is to learn N-soliton, M-lump, breather solutions and interaction solutions for a KdV equation with variable coeffificients.
Deniu Yang
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Rational solutions to the cylindrical nonlinear Schrödinger equation: Rogue waves, breathers, and Jacobi breathers solutions

Journal of Ocean Engineering and Science, 2022
يتم اشتقاق الحلول العقلانية الأسطوانية الدقيقة بما في ذلك الموجات المارقة الأسطوانية (RWs)، وأجهزة التنفس الأسطوانية Kuznetsov - Ma (KMBs)، وأجهزة التنفس الأسطوانية Akhmediev (ABs)، وحلول أجهزة التنفس الأسطوانية Jacobi لمعادلة Schrödinger الأسطوانية غير الخطية (CNLSE).
R. T. Matoog, Alvaro H. Salas, R. A. Alharbey, S. A. El-Tantawy   +3 more
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A new extended (2+1)-dimensional Kadomtsev–Petviashvili equation with N-solitons, periodic solutions, rogue waves, breathers and lump waves

Results in Physics, 2022
In this work, a new extended integrable (2+1)-dimensional Kadomtsev–Petviashvili equation is proposed and investigated, which models slowly varying perturbation wave in dispersion fluids.
Lingfei Li, Yingying Xie, Yongsheng Yan, Mancang Wang   +3 more
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Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch) [PDF]

, 2010
An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact
Cao, J., Deng, Xijun, Cao, Jinlong, Parkes, E.J., Deng, X.   +4 more
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Dynamical analysis of lump, lump-triangular periodic, predictable rogue and breather wave solutions to the (3 + 1)-dimensional gKP–Boussinesq equation

Results in Physics, 2020
This paper studies the dynamics of shallow water waves with the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq (gKP–Boussinesq) equation arising in fluid mechanics.
Gour Chandra Paul, Farhana Zannat Eti, Dipankar Kumar   +2 more
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Variety interaction between k-lump and k-kink solutions for the generalized Burgers equation with variable coefficients by bilinear analysis

Results in Physics, 2021
In this paper, we study the generalized Burgers equation with variable coefficients which is considered in soliton theory and generated by considering the Hirota bilinear operators. We retrieve some novel exact analytical solutions, including 2-lump-type
Ziqiang Li, Jalil Manafian, Natig Ibrahimov, Afandiyeva Hajar, Kottakkaran Sooppy Nisar, Wasim Jamshed   +5 more
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Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics [PDF]

, 2022
The breather wave and lump periodic wave solutions for the (2 + 1)-dimensional Caudrey–Dodd– Gibbon–Kotera–Sawada system are established in this paper. To achieve such novel solutions, we employ the Hirota bilinear approach.
Alshomrani, Ali S., Yusuf, Abdullahi, Baleanu, Dumitru, Sulaiman, Tukur Abdulkadir   +3 more
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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
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