Results 11 to 20 of about 66 (42)

Specific wave profiles and closed-form soliton solutions for generalized nonlinear wave equation in (3+1)-dimensions with gas bubbles in hydrodynamics and fluids

open access: yesJournal of Ocean Engineering and Science, 2023
Nonlinear evolution equations (NLEEs) are frequently employed to determine the fundamental principles of natural phenomena. Nonlinear equations are studied extensively in nonlinear sciences, ocean physics, fluid dynamics, plasma physics, scientific ...
Sachin Kumar   +2 more
doaj  

GROUP FOLIATION OF DIFFERENTIAL EQUATIONS USING MOVING FRAMES

open access: yesForum of Mathematics, Sigma, 2015
We incorporate the new theory of equivariant moving frames for Lie pseudogroups into Vessiot’s method of group foliation of differential equations. The automorphic system is replaced by a set of reconstruction equations on the pseudogroup jets.
ROBERT THOMPSON, FRANCIS VALIQUETTE
doaj   +1 more source

Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics

open access: yesJournal of Ocean Engineering and Science, 2022
The generalized exponential rational function (GERF) method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation.
Sachin Kumar   +2 more
doaj  

Adomian decomposition method for first order PDEs with unprescribed data

open access: yesAlexandria Engineering Journal, 2021
In this paper we like to explore the full power of Adomian decomposition method (ADM), specially its symbolic capability. We will demonstrate the standard ADM and ADM with integration factor to compute explicit closed form solutions of first order scalar
Tzon-Tzer Lu, Wei-Quan Zheng
doaj  

On similarity solutions to (2+1)-dispersive long-wave equations

open access: yesJournal of Ocean Engineering and Science, 2023
This work is devoted to get a new family of analytical solutions of the (2+1)-coupled dispersive long wave equations propagating in an infinitely long channel with constant depth, and can be observed in an open sea or in wide channels.
Raj Kumar   +2 more
doaj  

Diverse solitary wave solutions of fractional order Hirota-Satsuma coupled KdV system using two expansion methods

open access: yesAlexandria Engineering Journal, 2023
The generalized Hirota-Satsuma coupled KdV system with fractional-order derivative plays a significant role to simulate the interaction of nearby identical-weight particles in a crystal lattice structure, two long waves interaction with different ...
H.M. Shahadat Ali   +4 more
doaj  

Technological Organization and Sedentism: Expedient Core Reduction, Stockpiling, and Tool Curation at the Meier Site (35CO5)

open access: yes, 2000
An abstract of the thesis of Stephen Coursault Hamilton for the Master of Arts in Anthropology presented May 16, 1994. Title: Technological Organization and Sedentism: Expedient Core Reduction, Stockpiling, and Tool Curation at the Meier Site (35C05 ...
S. Hamilton
semanticscholar   +1 more source

A bibliography on moving-free boundary problems for the heat-diffusion equation. The stefan and related problems

open access: yes, 2000
We present a bibliography on moving and free boundary problems for the heatdiffusion equation, particularly regarding the Stefan and related problems. It contains 5869 titles referring to 588 scientific Journals, 122 books, 88 symposia (having at least 3
D. Tarzia
semanticscholar   +1 more source

Subadditivity of homogeneous norms on certain nilpotent Lie groups

open access: yes, 1981
Let N be a Lie group with its Lie algebra generated by the leftinvariant vector fields Xi,.. . ,Xk on N. An explicit fundamental solution for the (hypoelliptic) operator L = Xx + ■ ■ ■ + Xk on N has been obtained for the Heisenberg group by Folland [1 ...
J. Cygan
semanticscholar   +1 more source

On Gronwall and Wendroff type inequalities

open access: yes, 1983
It is shown how Gronwall's Lemma and the extension to many variables given by W. Walter may be derived using the simple method of recursion. This same method is used to extend this result and tc derive a more general Wendroff type inequality.
J. Abramowich
semanticscholar   +1 more source

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