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The soliton solutions and evolution of the (2+1)-dimensional dissipative long wave equation
Results in Physics, 2021 With the help of Mathematica symbolic calculation software, the new soliton solutions of the (2 + 1)-dimensional dissipative long wave equation were obtained by utilizing the exp(-Φ(ξ)) expansion method and the variable separation method, which include ...
Juan Yang, Qingjiang Feng
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Journal of Advanced Research, 2022 Introduction: The Gross-Pitaevskii equation is a class of the nonlinear Schrödinger equation, whose exact solution, especially soliton solution, is proposed for understanding and studying Bose-Einstein condensate and some nonlinear phenomena occurring in
Haotian Wang, Qin Zhou, Wenjun Liu
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Removing tadpoles in a soliton sector
Journal of High Energy Physics, 2021 It has long been known that perturbative calculations can be performed in a soliton sector of a quantum field theory by using a soliton Hamiltonian, which is constructed from the defining Hamiltonian by shifting the field by the classical soliton ...
Jarah Evslin, Hengyuan Guo
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M-Breather, Lumps, and Soliton Molecules for the 2+1-Dimensional Elliptic Toda Equation
Advances in Mathematical Physics, 2021 The 2+1-dimensional elliptic Toda equation is a higher dimensional generalization of the Toda lattice and also a discrete version of the Kadomtsev-Petviashvili-1 (KP1) equation. In this paper, we derive the M-breather solution in the determinant form for
Yuechen Jia, Yu Lu, Miao Yu, Hasi Gegen
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Explicit Soliton Structure Formation for the Riemann Wave Equation and a Sensitive Demonstration
Fractal and Fractional, 2023 The motive of the study was to explore the nonlinear Riemann wave equation, which describes the tsunami and tidal waves in the sea and homogeneous and stationary media. This study establishes the framework for the analytical solutions to the Riemann wave
Sheikh Zain Majid +4 more
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Retrieval of Optical Solitons with Anti-Cubic Nonlinearity
Mathematics, 2023 Purpose: In this article, two main subjects are discussed. First, the nonlinear Schrödinger equation (NLSE) with an anti-cubic (AC) nonlinearity equation is examined, which has a great working area, importance and popularity among the study areas of ...
Muslum Ozisik +9 more
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Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation
Advances in Mathematical Physics, 2021 By N-soliton solutions and a velocity resonance mechanism, soliton molecules are constructed for the KdV-Sawada-Kotera-Ramani (KSKR) equation, which is used to simulate the resonances of solitons in one-dimensional space.
Na Xiong, Ya-Xuan Yu, Biao Li
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The Soliton Solutions and Long-Time Asymptotic Analysis for a General Coupled KdV Equation
Advances in Mathematical Physics, 2021 A general coupled KdV equation, which describes the interactions of two long waves with different dispersion relation, is considered. By employing the Hirota’s bilinear method, the bilinear form is obtained, and the one-soliton solution and two-soliton ...
Changhao Zhang, Guiying Chen
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Universe, 2022 This paper retrieves an optical 1–soliton solution to a model that is written as a concatenation of the Lakshmanan–Porsezian–Daniel model and Sasa–Satsuma equation.
Anjan Biswas +7 more
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Soliton molecules and abundant interaction solutions of a general high-order Burgers equation
Results in Physics, 2021 In this work, many kinds of resonant excitations to the N-solitary waves solution are constructed for a (1+1)-dimensional general high-order Burgers (HB) equation.
Gaizhu Qu +4 more
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