Results 71 to 80 of about 5,895,681 (193)
Heliyon, 2020 A bilinear form of the (2+1)-dimensional nonlinear Calogero–Bogoyavlenskii–Schiff (CBS) model is derived using a transformation of dependent variable, which contain a controlling parameter.
Harun-Or- Roshid +2 more
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Open Physics, 2022 In this work, a (2+1)-dimensional generalized Hirota–Satsuma–Ito equation realized to represent the propagation of unidirectional shallow water waves is investigated.
Zhang Yun-Xia, Xiao Li-Na
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The Two Modified G′G‐Expansion Methods for Obtaining Solitons of the Korteweg‐De Vries Equation
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.The Korteweg‐de Vries (KdV) equation plays an important role in describing the propagation of water waves in shallow channels. Several analytical methods, such as tanh‐function methods (TFMs), exponential function method, and Jacobi elliptic function method, provide the exact solitons to the KdV equation.
Emmanuel Mensah +4 more
wiley +1 more source
Complexity, Volume 2026, Issue 1, 2026.In this paper, we investigate the exact stochastic solutions of the (2 + 1)‐dimensional stochastic fractional‐space breaking soliton equation (SFSBSE) involving the truncated M‐fractional derivative in space. This equation models a range of physical phenomena, including fluid wave propagation, shallow water dynamics, and plasma physics, under the ...
Fatma Nur Kaya Sağlam +4 more
wiley +1 more source
Journal of Applied Mathematics, 2019 Based on the Hirota bilinear form of the generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation, the lump and lump-type solutions are generated through symbolic computation, whose analyticity can be easily achieved by ...
Yanni Zhang, Jing Pang
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Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.This paper explores a nonlinear telecommunication transmission line model with the incorporation of the M‐truncated fractional derivative, providing memory‐dependent effects that go beyond the classical nonlinear transmission line models. The Hamilton–Jacobi and Jacobian dynamical frameworks are, for the first time, utilized in this fractional ...
Arooma Zainab +6 more
wiley +1 more source
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This paper introduces a symmetry‐compatible exact linearisation of the Korteweg–de Vries (KdV) equation through an auxiliary‐field splitting based on Q = νfx. The term ‘symmetry’ is used here in a structural sense; the linear operator is held fixed across solution families, rather than in the sense of Lie point symmetry groups.
Jorge Rodolfo Silva Zabadal +4 more
wiley +1 more source
On Linear Superposition Principle Applying to Hirota Bilinear Equations
, 2020 The linear superposition principle of exponential travelling waves is analysed for equations of Hirota bilinear type, with an aim to construct a specific subclass of N-soliton solutions formed by linear co mb ination of exponential travelling waves ...
E Suleiman, M Y Adamu
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study investigates the stochastic fractional new coupled Konno–Oono equation with external forced multiplicative noise, focusing on the chaotic nature, the influence of multiplicative noise intensity, and the fractionality parameter on exact soliton solutions. The proposed model is used to describe the complex phenomena in the magnetic field.
Md. Mamunur Roshid +5 more
wiley +1 more source
Solitons of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions: Hirota bilinear method [PDF]
, 2007 We use the Hirota bilinear approach to consider physically relevant soliton solutions of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions, recently proposed for describing uniaxial waves in a cold collisionless plasma.
J.-H. Lee +3 more
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