Results 41 to 50 of about 468 (168)
Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation
, 2020 A generalized form of (2+1)-dimensional Hirota bilinear (2D-HB) equation is considered herein in order to study nonlinear waves in fluids and oceans.
M. Aligoli +4 more
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Abstract and Applied Analysis, 2014 The bilinear form, bilinear Bäcklund transformation, and Lax pair of a (2 + 1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation are derived through Bell polynomials. The integrable constraint conditions on variable coefficients
Wen-guang Cheng, Biao Li, Yong Chen
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Wronskian and Grammian solutions for the (2+1)-dimensional BKP equation
Theoretical and Applied Mechanics Letters, 2014 The (2 + 1)-dimensional BKP equation in the Hirota bilinear form is studied during this work. Wronskian and Grammian techniques are applied to the construction of Wronskian and Grammian solutions of this equation, respectively.
Yaning Tang, Yanna Chen, Lei Wang
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Diverse Soliton Structures of Induced Curves in the Integrable Coupled Kuralay Equation
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This study explores the integrable coupled Kuralay equation, which is widely utilized to study the motion of induced curves. In fields such as ferromagnetic materials, nonlinear optics, and optical fibers, soliton solutions of the Kuralay equation have emerged as significant recent developments.
Shah Muhammad +4 more
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The Method of Hirota Bilinearization
, 2023 Bilinearization of a given nonlinear partial differential equation is very important not only to find soliton solutions but also to obtain other solutions such as the complexitons, positons, negatons, and lump solutions.
Gürses, Metin, Pekcan, Aslı
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Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This research work provides a comprehensive investigation of the M‐fractional paraxial wave equation (M‐fPWE) in describing complex optical phenomena in telecommunication systems and nonlinear media, focusing on the dynamical analysis of optical soliton solutions, the impact of M‐fractional parameters, stability, multistability, and the chaotic nature ...
Md. Mamunur Roshid +5 more
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Exact solution of some nonlinear differential equations by Hirota method [PDF]
, 2005 Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2005Includes bibliographical references (leaves: 45-47)Text in English; Abstract: Turkish and Englishix,60 leavesThe Hirota Bilinear Method is applied to construct exact analytical one ...
Güçoğlu, Deniz Hasan
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Complexity, 2019 We aim to construct exact and explicit solutions to a generalized Bogoyavlensky-Konopelchenko equation through the Maple computer algebra system. The considered nonlinear equation is transformed into a Hirota bilinear form, and symbolic computations are ...
Shou-Ting Chen, Wen-Xiu Ma
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Journal of Ocean Engineering and Science, 2023 The paper investigates the multiple rogue wave solutions associated with the generalized Hirota–Satsuma–Ito (HSI) equation and the newly proposed extended (3 + 1)-dimensional Jimbo–Miwa (JM) equation with the help of a symbolic computation technique.
Saima Arshed +4 more
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Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.In this article, a highly generalized way of studying nonlinear evolution equations (NLEEs) with time‐dependent variable coefficients is provided. The innovative exact solutions of the Kadomtsev–Petviashvili (KP) equation and the modified Korteweg–de Vries (mKdV) equation with temporal variable coefficients are evaluated by using the extended ...
Abdul Saboor +5 more
wiley +1 more source