Traveling Wave Solutions of Nonlinear Evolution Equations Via the Modified Simple Equation Method
A. K. M. Kazi Sazzad Hossain,
M. Ali Akbar
Issue:
Volume 3, Issue 2, April 2017
Pages:
20-25
Received:
4 February 2017
Accepted:
21 February 2017
Published:
14 March 2017
Downloads: 271
Views: 3267
Abstract: Exact solutions of nonlinear evolution equations (NLEEs) are very crucial to realize the obscurity of many physical phenomena in mathematical science. The modified simple equation (MSE) method is especially effective and highly proficient mathematical instrument to obtaining exact traveling wave solutions to NLEEs arising in science, engineering and mathematical physics. Though the modified simple equation method effectively provides exact traveling wave solutions to nonlinear evolution equations for balance number less or equal 2 but the method did not applied to solve if the balance number is greater than 2. In this article, the MSE method is executed to construct exact traveling wave solutions of nonlinear evolution equations namely Kuramoto-Sivashinsky equation with balance number equal to 3. The obtained solutions are expressed in terms of exponential and trigonometric functions including solitary and periodic solutions. Moreover the procedure of this method reduces huge volume of calculations.
Abstract: Exact solutions of nonlinear evolution equations (NLEEs) are very crucial to realize the obscurity of many physical phenomena in mathematical science. The modified simple equation (MSE) method is especially effective and highly proficient mathematical instrument to obtaining exact traveling wave solutions to NLEEs arising in science, engineering an...
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The Grand Unification of Dark Matters: The Dark Universe Revealed
Issue:
Volume 3, Issue 2, April 2017
Pages:
26-37
Received:
31 January 2017
Accepted:
15 February 2017
Published:
17 March 2017
Downloads: 131
Views: 2771
Abstract: A unifying model and theory that covers dark matter, dark energy, gravity, space and negative energy by means of observation, citation, and deduction, revealing a fundamental definition for both space and gravity, support of dark energy theory, explanation of dark matter, revealing additional structure and properties of baryonic atoms, sheds new light on baryogenesis, and revises estimates of the longevity of the universe. Other matters discussed are aerospace, anti-gravity, artificial gravity, gravitational waves, wormholes, interstellar space travel, cold fusion, cold fission, health and wellbeing, the earth’s atmosphere and global warming.
Abstract: A unifying model and theory that covers dark matter, dark energy, gravity, space and negative energy by means of observation, citation, and deduction, revealing a fundamental definition for both space and gravity, support of dark energy theory, explanation of dark matter, revealing additional structure and properties of baryonic atoms, sheds new li...
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Gravitational Force Explanation Based on Universe as a Superconductor of Matter
Issue:
Volume 3, Issue 2, April 2017
Pages:
38-42
Received:
14 December 2016
Accepted:
1 March 2017
Published:
30 March 2017
Downloads: 210
Views: 2856
Abstract: Gravity explained by a new theory, ‘Superconducting String Theory’, inspired on initial string theories and completely opposite from actual fields based. Strengths are decomposed to make strings behave as one-dimensional with universe acting as a superconductor where resistance is near 0 and matter moves inside. Strong nuclear force, with an attraction of 10.000 Newtons is which makes space to curve, generating acceleration. More matter more acceleration. Electromagnetic moves in 8 decimals, gravity is moved from 3 to more than 30 decimals to work as a superconductor.
Abstract: Gravity explained by a new theory, ‘Superconducting String Theory’, inspired on initial string theories and completely opposite from actual fields based. Strengths are decomposed to make strings behave as one-dimensional with universe acting as a superconductor where resistance is near 0 and matter moves inside. Strong nuclear force, with an attrac...
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