Soliton Lattice and Single Soliton Solutions of the Associated Lam\'e and Lam\'e Potentials [PDF]
, 2004 We obtain the exact nontopological soliton lattice solutions of the Associated Lam\'e equation in different parameter regimes and compute the corresponding energy for each of these solutions.
Avadh Saxena +10 more
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Solitons, peakons, and periodic cuspons of a generalized Degasperis-Procesi equation [PDF]
, 2009 We employ the bifurcation theory of planar dynamical systems to investigate the exact travelling wave solutions of a generalized Degasperis-Procesi equation. The implicit expression of smooth soliton solutions is given. The explicit expressions of peaked
Tian, Lixin, Zhou, Jiangbo
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Traveling wave solutions to the Boussinesq equation via Sardar sub-equation technique
AIMS Mathematics, 2022 In present study, the Boussinesq equation is obtained by means of the Sardar Sub-Equation Technique (SSET) to create unique soliton solutions containing parameters. Using this technique, different solutions are obtained, such as the singular soliton, the
Hamood-Ur-Rahman +9 more
doaj +1 more source
$N$-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schr\"odinger Equation [PDF]
, 2017 In this paper, a general bright-dark soliton solution in the form of Pfaffian is constructed for an integrable semi-discrete vector NLS equation via Hirota's bilinear method.
Feng, Bao-Feng, Ohta, Yasuhiro
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Fractal and Fractional, 2023 This research uses a novel analytical method known as the modified Extended Direct Algebraic Method (mEDAM) to explore families of soliton solutions for the complex structured Coupled Fractional Biswas–Arshed Model (CFBAM) in Birefringent Fibers.
Humaira Yasmin +3 more
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Optical Solutions of Schrödinger Equation Using Extended Sinh–Gordon Equation Expansion Method
Frontiers in Physics, 2020 In this paper, we investigated the non-linear Schrödinger equation (NLS) to extract optical soliton solutions by implementing the extended Sinh–Gordon equation expansion method (ShGEEM).
Amna Irshad +6 more
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Darboux Transformation and Soliton Solution of the Nonlocal Generalized Sasa–Satsuma Equation
Mathematics, 2023 This paper aims to seek soliton solutions for the nonlocal generalized Sasa–Satsuma (gSS) equation by constructing the Darboux transformation (DT). We obtain soliton solutions for the nonlocal gSS equation, including double-periodic wave, breather-like ...
Hong-Qian Sun, Zuo-Nong Zhu
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Constructing N-soliton solution for the mKdV equation through constrained flows [PDF]
, 2001 Based on the factorization of soliton equations into two commuting integrable x- and t-constrained flows, we derive N-soliton solutions for mKdV equation via its x- and t-constrained flows.
Ablowitz M +14 more
core +2 more sources
Novel soliton solutions and localized structures of KdV equation
Results in Physics, 2023 A (1 + 1)-dimensional Korteweg-de Vries (KdV) equation is studied. Using the extended Tanh-function method, the analytical soliton solutions are obtained by symbolic calculation, and the localized coherent structures containing the compacton, the peakon,
Shaofu Wang
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Comments on whether nonlinear fractional partial differential equations have soliton solutions
Partial Differential Equations in Applied Mathematics, 2022 It is well known that many nonlinear integer-order partial differential equations (PDEs) have soliton solutions, this is an indisputable fact in the field of soliton theory.
Weiguo Rui
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