Results 31 to 40 of about 278,413 (313)
Results in Physics, 2022 In this paper, the lumps with their interactions (lump-single and lump-double stripes), and breather wave solutions are constructed to the new integrable (2 + 1)-dimensional Boussinesq equation via the Hirota bilinear method.
Md. Nuruzzaman, Dipankar Kumar
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Inducing predefined nonlinear rogue waves on basis of breather solutions
, 2019 Der Peregrine Breather, eine analytische Lösung der Nichtlinearen Schroedingergleichung, wird modifiziert, um punkt- und zeitgenau eine zuvor in Form, Höhe und Steilheit definierte nichtlineare Extremwelle in einen beliebigen gerichteten Seegang zu ...
Witt, Andy
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Variational methods for breather solutions of nonlinear wave equations
Nonlinearity, 2021 Abstract We construct infinitely many real-valued, time-periodic breather solutions of the nonlinear wave equation ∂ t
Mandel, Rainer, Scheider, Dominic
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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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Interaction solution to the (3+1)-D negative-order KdV first structure
Partial Differential Equations in Applied Mathematics, 2023 We derive N-solitons and interaction solution for the (3+1)-D negative-order KdV first structure that arises in shallow-water waves. We use the bilinear scheme and the simplified Hirota technique for this solution. From the multiple solitons solution, we
Mohammad Safi Ullah
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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 +3 more
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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 +4 more
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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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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 +3 more
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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 +5 more
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