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Resonant multiple soliton and rogue type multiple lump wave solutions of the modified KdV–KP equation
This study investigates the precise solutions of the (2+1)-dimensional modified KdV–KP equation. Resonant multiple soliton solutions are examined by...
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Superposition behavior of the lump solutions and multiple mixed function solutions for the (3+1)-dimensional Sharma–Tasso–Olver-like equation
In this paper, several analytical solutions of the (3+1)-dimensional Sharma–Tasso–Olver-like (STOL) equation describing the dynamical propagation of...
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Evaluation of multiple-vendor AI autocontouring solutions
BackgroundMultiple artificial intelligence (AI)-based autocontouring solutions have become available, each promising high accuracy and time savings...
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An Efficient Spectral Trust-Region Deflation Method for Multiple Solutions
It is quite common that a nonlinear partial differential equation (PDE) admits multiple distinct solutions and each solution may carry a unique...
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Multiple solitons solutions, lump solutions and rogue wave solutions of the complex cubic Ginzburg–Landau equation with the Hirota bilinear method
In this paper, we obtain the exact solutions of the (1+1) dimensional complex cubic Ginzburg–Landau equation (CCGLE) by using the Hirota bilinear...
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Multiple Higher-Order Pole Solutions in Spinor Bose–Einstein Condensates
In this study, multiple higher-order pole solutions of spinor Bose–Einstein condensates are explored by means of the inverse scattering transform,...
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Dynamics of kink train solutions in deformed multiple Sine–Gordon models
This paper examines the effects of a thin layer of inhomogeneity on periodic solutions of the Multiple-Sine–Gordon (MsG) model. We investigate the...
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Multiple Positive Solutions for Quasilinear Elliptic Problems in Expanding Domains
In this paper we prove the existence of multiple positive solutions for a quasilinear elliptic problem with unbalanced growth in expanding domains by...
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An Adaptive Orthogonal Basis Method for Computing Multiple Solutions of Differential Equations with Polynomial Nonlinearities
This paper presents an innovative approach, the Adaptive Orthogonal Basis Method, tailored for computing multiple solutions to differential equations...
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Continuous Solutions of Difference-Functional Equations with Multiple Deviations of the Argument
We establish conditions for the existence of continuous solutions of one class of systems of linear difference-functional equations with multiple...
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Multiple mixed solutions of the nonlocal sine-Gordon equation
In this paper, we propose the nonlocal sine-Gordon equation from the AKNS system by the Parity and the Time symmetries. Moreover, the main work is to...
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Brain Storm Optimization Algorithm with an Adaptive Parameter Control Strategy for Finding Multiple Optimal Solutions
Real-world optimization problems often have multiple optimal solutions and simultaneously finding these optimal solutions is beneficial yet...
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Multiple Solutions of Direct Kinematics of 3-RPR Parallel Manipulators
It is well known that the direct kinematics of planar 3-RPR parallel manipulators has six solutions. In this paper conditions for multiple solutions...
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Painlevé analysis, Painlevé–Bäcklund, multiple regular and singular kink solutions of dynamical thermopherotic equation drafting wrinkle propagation
The thermophoretic motion (TM) system with a variable heat transmission factor, based on the Korteweg-de Vries (KdV) equation, is used to model...
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Integrable (3+1)-dimensional Ito equation: variety of lump solutions and multiple-soliton solutions
In this work, we study an extended integrable (3+1)-dimensional Ito equation, where its complete integrability is justified via Painlevé analysis....
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Fast quasi-null-filling of radiation patterns for multiple solutions generation
Here we present an improved, rapid method for filling quasi-nulls in symmetrical radiation patterns synthesized by equispaced linear arrays, leading...
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Multiple Solutions for a Kirchhoff-type Problem with Vanishing Nonlocal Term and Fractional p-Laplacian
The goal of the paper is to investigate a Kirchhoff-type elliptic problem driven by a generalized nonlocal fractional p -Laplacian whose nonlocal term...
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New type of multiple lumps, rogue waves and interaction solutions of the Kadomtsev-Petviashvili I equation
In this paper, the theory of four operators is employed to construct the solutions of the KPI equation in form of Grammian. The 1-lump, 3-lump,...
