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Dispersive perturbations of solitons for conformable fractional complex Ginzburg–Landau equation with polynomial law of nonlinearity using improved modified extended tanh-function method
This study examines the analytic wave solutions of a highly dispersive perturbed complex Ginzburg–Landau equation (CGLE) with conformable fractional...
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Unveiling optical solitons and other solutions for fourth-order (2+1)-dimensional nonlinear Schrödinger equation by modified extended direct algebraic method
The (2+1)-dimensional nonlinear Schrödinger equation with fourth-order nonlinearity and dispersion is investigated in this study. Several optical...
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A diverse array of optical solitons in the damped (2 + 1)-dimensional nonlinear Schrödinger equation via the modified exponential rational function method and other distinct strategies
This study addresses the damped (2 + 1)-dimensional nonlinear Schrödinger equation (DNLS) using innovative techniques, with a focus on elucidating...
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Bäcklund transformations for the modified short pulse equation and complex modified short pulse equation
It is demonstrated that under a reciprocal transformation, the modified short pulse (mSP) equation is brought to the associated mSP equation, which...
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Discretization of the modified Korteweg–de Vries–sine Gordon equation
AbstractWe provide an integrable discretization of the modified Korteweg–de Vries–sine Gordon equation. The discrete form is a coupled system and...
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Probing wave dynamics in the modified fractional nonlinear Schrödinger equation: implications for ocean engineering
The nonlinear Schrödinger equation is used to model various phenomena, such as solitons self-focusing effects and rogue waves. In the ocean...
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Exploring soliton solutions to sixth order dispersive non-linear Schrödinger equation with Kerr law nonlinearity using modified extended direct algebraic method
Optical soliton solutions and other analytic solutions for sixth order dispersive nonlinear Schrödinger equation with Kerr law nonlinearity are...
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Advanced computational techniques for solving the modified KdV-KP equation and modeling nonlinear waves
This research employs recent and precise computational techniques to identify new and accurate solitary wave solutions of the modified Korteweg-de...
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The focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions: the Riemann–Hilbert problem and soliton classification
AbstractThe focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions is investigated by the Riemann–Hilbert...
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Retrieval of solitons and other wave solutions for stochastic nonlinear Schrödinger equation with non-local nonlinearity using the improved modified extended tanh-function method
Stochastic nonlinear Schrödinger model with non-local nonlinearity is introduced. The optical stochastic soliton solutions and other exact stochastic...
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Periodic solutions of the modified short pulse equation
With the aid of the reciprocal transformation between the modified short pulse (mSP) equation and the sine-Gordon (sG) equation, certain periodic...
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Fokas-Lenells equation dark soliton and gauge equivalent spin equation
We propose the Hirota bilinearization of the Fokas–Lenells derivative nonlinear Schrödinger equation (FLE) with a non-vanishing background. In the...
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New traveling wave solutions for paraxial wave equation via two integrating techniques
The purpose of the presented work is to obtain the exact solutions of the Paraxial wave equation using two different methods, the modified auxiliary...
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Space Time Method for Solving KdV and KdV-Burgers’ Equation
AbstractKorteweg-de Vries equation and KdV-Burgers’ equation are important nonlinear evolutionary equations widely used in engineering and...
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Analytical study of Boiti-Leon-Manna-Pempinelli equation using two exact methods
The analytical study of Boiti-Leon-Manna-Pempinelli (BLMP) equation is presented in this research paper. In this study, two exact methods are...
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Novel solitary wave solutions in dual-mode simplified modified Camassa-Holm equation in shallow water waves
This study addresses dual-mode equations, focusing on the nonlinear wave behavior characterized by simultaneous bidirectional movement influenced by...
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Analytic auxiliary mass flow to compute master integrals in singular kinematics
The computation of master integrals from their differential equations requires boundary values to be supplied by an independent method. These...
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Numerous Accurate and Stable Solitary Wave Solutions to the Generalized Modified Equal–Width Equation
The generalized modified Equal–Width ( GMEW ) equation is often used to show how a one-dimensional wave moves through a medium that is not linear and...
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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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On the exploration of solitary wave structures to the nonlinear Landau–Ginsberg–Higgs equation under improved F-expansion method
The improved F-expansion method is used in this work to investigate the nonlinear Landau–Ginsberg–Higgs (NLLGH) equation. The nonlinear...
