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Lump Solution, Breather Soliton and More Soliton Solutions for a (2+1)-Dimensional Generalized Benjamin–Ono Equation
Our work is to discuss some new exact solutions of the (2+1)-dimensional generalized Benjamin–Ono (gBO) equation, which describes small amplitude...
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Relations to Soliton Systems
The cluster flow solution describing a particle flow with travelling clusters as formation of a jam, is related to soliton systems. In this chapter...
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The Dynamics on Soliton Molecules and Soliton Bifurcation for an Extended Generalization of Vakhnenko Equation
Vakhnenko-type equations play a critical role in nonlinear electromagnetic and optical fiber applications. In this article, we present a new...
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Dynamical behavior of analytical soliton solutions, bifurcation analysis, and quasi-periodic solution to the (2+1)-dimensional Konopelchenko–Dubrovsky (KD) system
Nonlinear evolution equations (NLEEs) are extensively used to establish the elementary propositions of natural circumstances. In this work, we study...
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High-order Soliton Matrix for the Third-order Flow Equation of the Gerdjikov-Ivanov Hierarchy Through the Riemann-Hilbert Method
The Gerdjikov-Ivanov (GI) hierarchy is derived via recursion operator, in this article, we mainly investigate the third-order flow GI equation. In...
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Inverse Scattering Transform and Dynamics of Soliton Solutions for Nonlocal Focusing Modified Korteweg-de Vries Equation
The Riemann–Hilbert problem is developed to study the general N -soliton solution of the nonlocal modified Korteweg-de Vries equation in this work....
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Navigation Finsler metrics on a gradient Ricci soliton
In this paper, we study a class of Finsler metrics defined by a vector field on a gradient Ricci soliton. We obtain a necessary and sufficient...
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A General Coupled Derivative Nonlinear Schrödinger System: Darboux Transformation and Soliton Solutions
In this work we present a general coupled derivative nonlinear Schrödinger system. We construct the corresponding N -fold Darboux transform and...
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Characterization of Almost η-Ricci–Yamabe Soliton and Gradient Almost η-Ricci–Yamabe Soliton on Almost Kenmotsu Manifolds
The prime object in this article is to study an almost η -Ricci–Yamabe soliton and gradient almost η -Ricci–Yamabe soliton within the framework of...
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Darboux Transformation and Soliton Solutions for a Nonlocal Two-Component Complex Modified Korteweg–de Vries Equation
In this paper, a nonlocal two-component complex modified Korteweg–de Vries (mKdV) equation is investigated and its Darboux transformation is derived....
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Solutions of the Camassa-Holm Equation Near the Soliton
In this paper, solutions of the Camassa-Holm equation near the soliton Q is decomposed by pseudo-conformal transformation as follows: λ 1/2 ( t ) u ( t, λ ( t )
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EXISTENCE OF CONFORMAL RICCI SOLITON AND CHARACTERISTICS OF ALMOST CONFORMAL RICCI SOLITONS ON SASAKIAN MANIFOLD
In this paper, we have established the existence of conformal Ricci soliton as self similar solution of conformal Ricci flow and characterized the...
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Riemann–Hilbert Approach and N-Soliton Solutions for a Higher-Order Coupled Nonlinear Schrödinger System
In this paper, the main work is to study the N -soliton solutions for a higher-order coupled nonlinear Schrödinger system by using the method of...
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Paul-Painlevé Analysis, Soliton and Periodic Wave in the Fractional Thermophoretic Motion Equation via Graphene Sheets
We focused on solitonic phenomena in substrate-supported graphene sheets by learning the solitons of fractional thermophoretic motion equation, which...
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Dispersive Hydrodynamics of Soliton Condensates for the Korteweg–de Vries Equation
We consider large-scale dynamics of non-equilibrium dense soliton gas for the Korteweg–de Vries (KdV) equation in the special “condensate” limit. We...
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Resonance Soliton, Breather and Interaction Solutions of the Modified Kadomtsev–Petviashvili-II Equation
In this paper, we investigate the modified Kadomtsev–Petviashvili-II (mKP-II) equation, which has important applications in fluid dynamics, plasma...
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Multi-Symplectic Simulation on Soliton-Collision for Nonlinear Perturbed Schrödinger Equation
Seeking solitary wave solutions and revealing their interactional characteristics for nonlinear evolution equations help us lot to comprehend the...
