Results 11 to 20 of about 66 (42)
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
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
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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
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
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
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
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
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
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Subadditivity of homogeneous norms on certain nilpotent Lie groups
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
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On Gronwall and Wendroff type inequalities
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
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