Lie group analysis, exact solutions and conservation laws to compressible isentropic Navier–Stokes equation

R Jiwari, V Kumar, S Singh - Engineering with Computers, 2022 - Springer
The current study dedicated to the compressible isentropic Navier–Stokes equations in one-
dimensional with a general pressure law. The Lie Group method is employed to reduce the …

Hyperbolic (2+ 1)-dimensional Schrödinger equation: Similarity analysis, Optimal system and complexitons for the one-parameter group of rotations

V Kumar, R Jiwari, AR Djurayevich… - … in Nonlinear Science …, 2022 - Elsevier
The current study is dedicated to find the complex soliton solutions of the hyperbolic (2+ 1)-
dimensional nonlinear Schrödinger equation. In this direction we takes the help of Lie …

Lie symmetry analysis for complex soliton solutions of coupled complex short pulse equation

V Kumar, AM Wazwaz - Mathematical Methods in the Applied …, 2021 - Wiley Online Library
The current work is devoted for operating the Lie symmetry approach, to coupled complex
short pulse equation. The method reduces the coupled complex short pulse equation to a …

Fourier spectral method for solving fractional-in-space variable coefficient KdV-Burgers equation

J Ning, YL Wang - Indian Journal of Physics, 2024 - Springer
Abstract The variable coefficient KdV-Burgers (vc-KdVB) equation is widely used in many
physical models. In this paper, Fourier spectral method is introduced to solve the fractional …

Notes on local and nonlocal intuitionistic fuzzy fractional boundary value problems with Caputo fractional derivatives

A El Mfadel, S Melliani, M Elomari - Journal of Mathematics, 2021 - Wiley Online Library
In this paper, we investigate the existence and uniqueness results of intuitionistic fuzzy local
and nonlocal fractional boundary value problems by employing intuitionistic fuzzy fractional …

[HTML][HTML] Optical solitons and modulation instability for Cubic–quartic Fokas–Lenells equation

V Kumar - Partial Differential Equations in Applied Mathematics, 2022 - Elsevier
The current study is dedicated to the optical soliton solutions and modulation instability of
the Cubic–quartic Fokas–Lenells equation with nonlinear perturbation and polarization …

Time-fractional (2+ 1)-dimensional navier-stokes equations: similarity reduction and exact solutions for one-parameter lie group of rotations

P Verma, S Pandit, M Kumar, V Kumar… - Physica Scripta, 2023 - iopscience.iop.org
The current study is dedicated to solving the time-fractional (2+ 1)-dimensional Navier–
Stokes model. The model has wide applications in blood flow, in the design of power …

Study of two soliton and shock wave structures by weighted residual method and Hirota bilinear approach

J Zhang, J Manafian, S Raut, S Roy, KH Mahmoud… - Nonlinear …, 2024 - Springer
The dissipation effect in the viscous plasma is expressed in the current study by a Burgers
term. The Weighted Residual Method is used to produce a solitary type progressive wave …

Lie symmetry analysis and soliton solutions for complex short pulse equation

V Kumar, AM Wazwaz - Waves in Random and Complex Media, 2022 - Taylor & Francis
The current study is dedicated for operating the Lie symmetry approach, to complex short
pulse equation. The method reduces the complex short pulse equation to a system of …

Perturbed Fokas–Lenells equation: Lie symmetry analysis, complexitons and baseband modulation instability

P Verma, V Kumar, M Kumar, Poonam - International Journal of …, 2023 - World Scientific
In this work, Lie symmetry analysis method is utilized to find the complex soliton solutions of
the perturbed Fokas–Lenells equation. In this direction, first of all, we obtained the …