The <svg style="vertical-align:-3.186pt;width:59.799999px;" id="M1" height="23.825001" version="1.1" viewBox="0 0 59.799999 23.825001" width="59.799999"  xmlns="http://www.w3.org/2000/svg">
	<g transform="matrix(1.25,0,0,-1.25,0,23.825)">
		<g transform="translate(72,-52.94)">
			<text transform="matrix(1,0,0,-1,-71.95,56.17)">
				<tspan style="font-size: 17.93px; " x="0" y="0">(</tspan>
				<tspan style="font-size: 17.93px; " x="5.9716892" y="0">𝐺</tspan>
			</text>

			<text transform="matrix(1,0,0,-1,-52.46,63.44)">
				<tspan style="font-size: 12.55px; " x="0" y="0">′</tspan>
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			<text transform="matrix(1,0,0,-1,-48.33,56.17)">
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				<tspan style="font-size: 17.93px; " x="4.985374" y="0">𝐺</tspan>
				<tspan style="font-size: 17.93px; " x="18.148195" y="0">)</tspan>
			</text>

		</g>
	</g>
</svg>-Expansion Method for Abundant Traveling Wave Solutions of Caudrey-Dodd-Gibbon Equation

<table>Solitary wave obtained from solution (<a href="https://static.hindawi.com/articles/mpe/volume-2011/218216/figures/#EEq18">3.14</a>), for <svg height="12.4375" id="M141" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 37.087502 12.4375" width="37.087502" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><path d="M529 97q-70 -109 -136 -109q-41 0 -56 94q-23 144 -37 284q-38 -88 -99 -202.5t-93 -156.5q-26 -8 -76 -19l-9 21q71 78 145.5 193t124.5 232q-5 84 -15 128q-12 55 -29.5 75.5t-42.5 20.5q-21 0 -45 -13l-8 24q16 17 46 30t55 13q43 0 70 -46.5t40 -169.5
q27 -249 51 -392q7 -46 23 -46q24 0 70 60z" id="x1D706"></path></g><g transform="matrix(.017,-0,0,-.017,14.154,12.162)"><path d="M535 323h-483v50h483v-50zM535 138h-483v50h483v-50z" id="x3D"></path></g><g transform="matrix(.017,-0,0,-.017,28.858,12.162)"><path d="M412 140l28 -9q0 -2 -35 -131h-373v23q112 112 161 170q59 70 92 127t33 115q0 63 -31 98t-86 35q-75 0 -137 -93l-22 20l57 81q55 59 135 59q69 0 118.5 -46.5t49.5 -122.5q0 -62 -29.5 -114t-102.5 -130l-141 -149h186q42 0 58.5 10.5t38.5 56.5z" id="x32"></path></g>
</svg>, <svg height="15.35" id="M142" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 37.137501 15.35" width="37.137501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,10.862)"><path d="M538 96q-38 -45 -84 -76.5t-71 -31.5q-44 0 -15 117q12 49 18 89h-2q-99 -128 -163 -178q-36 -28 -70 -28q-26 0 -44 38h-2q-16 -69 -16 -129q0 -43 11 -75.5t24 -42.5l1 -6q-7 -12 -24.5 -23t-37.5 -11q-40 0 -40 76q0 52 35 202l94 407l78 24l5 -5q-32 -122 -72 -310
q-7 -33 0 -55t25 -22q36 0 105.5 75t107.5 145l32 146l75 26h10q-50 -197 -78 -347q-7 -38 6 -38q7 0 31 17t47 39z" id="x1D707"></path></g><g transform="matrix(.017,-0,0,-.017,14.205,10.862)"><path d="M535 323h-483v50h483v-50zM535 138h-483v50h483v-50z" id="x3D"></path></g><g transform="matrix(.017,-0,0,-.017,28.909,10.862)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g>
</svg>, <svg height="15.5375" id="M143" style="vertical-align:-3.27605pt" version="1.1" viewbox="0 0 46.025002 15.5375" width="46.025002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.4)"><path d="M682 629q-1 -16 -1.5 -72t-2.5 -86l-31 -4q-5 92 -51 129t-139 37q-100 0 -177 -49t-116 -125t-39 -162q0 -122 66 -201t182 -79q83 0 137 42.5t112 128.5l26 -15q-12 -31 -42.5 -88t-45.5 -75q-139 -27 -199 -27q-148 0 -243 81.5t-95 226.5q0 173 129.5 274.5
t325.5 101.5q114 0 204 -38z" id="x1D436"></path></g>
<g transform="matrix(.012,-0,0,-.012,12.05,15.475)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g>
<g transform="matrix(.017,-0,0,-.017,23.1,11.4)"><path d="M535 323h-483v50h483v-50zM535 138h-483v50h483v-50z" id="x3D"></path></g><g transform="matrix(.017,-0,0,-.017,37.787,11.4)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g>
</svg>, <svg height="15.5375" id="M144" style="vertical-align:-3.27605pt" version="1.1" viewbox="0 0 46.025002 15.5375" width="46.025002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.4)"><path d="M682 629q-1 -16 -1.5 -72t-2.5 -86l-31 -4q-5 92 -51 129t-139 37q-100 0 -177 -49t-116 -125t-39 -162q0 -122 66 -201t182 -79q83 0 137 42.5t112 128.5l26 -15q-12 -31 -42.5 -88t-45.5 -75q-139 -27 -199 -27q-148 0 -243 81.5t-95 226.5q0 173 129.5 274.5
t325.5 101.5q114 0 204 -38z" id="x1D436"></path></g>
<g transform="matrix(.012,-0,0,-.012,12.05,15.475)"><path d="M412 140l28 -9q0 -2 -35 -131h-373v23q112 112 161 170q59 70 92 127t33 115q0 63 -31 98t-86 35q-75 0 -137 -93l-22 20l57 81q55 59 135 59q69 0 118.5 -46.5t49.5 -122.5q0 -62 -29.5 -114t-102.5 -130l-141 -149h186q42 0 58.5 10.5t38.5 56.5z" id="x32"></path></g>
<g transform="matrix(.017,-0,0,-.017,23.1,11.4)"><path d="M535 323h-483v50h483v-50zM535 138h-483v50h483v-50z" id="x3D"></path></g><g transform="matrix(.017,-0,0,-.017,37.787,11.4)"><path d="M412 140l28 -9q0 -2 -35 -131h-373v23q112 112 161 170q59 70 92 127t33 115q0 63 -31 98t-86 35q-75 0 -137 -93l-22 20l57 81q55 59 135 59q69 0 118.5 -46.5t49.5 -122.5q0 -62 -29.5 -114t-102.5 -130l-141 -149h186q42 0 58.5 10.5t38.5 56.5z" id="x32"></path></g>
</svg>.</table>

Mathematical Problems in Engineering

fig3

Figure 3

Figure 3: The <svg style="vertical-align:-3.186pt;width:59.799999px;" id="M1" height="23.825001" version="1.1" viewBox="0 0 59.799999 23.825001" width="59.799999"  xmlns="http://www.w3.org/2000/svg">
	<g transform="matrix(1.25,0,0,-1.25,0,23.825)">
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				<tspan style="font-size: 17.93px; " x="0" y="0">(</tspan>
				<tspan style="font-size: 17.93px; " x="5.9716892" y="0">𝐺</tspan>
			</text>

			<text transform="matrix(1,0,0,-1,-52.46,63.44)">
				<tspan style="font-size: 12.55px; " x="0" y="0">′</tspan>
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				<tspan style="font-size: 17.93px; " x="18.148195" y="0">)</tspan>
			</text>

		</g>
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</svg>-Expansion Method for Abundant Traveling Wave Solutions of Caudrey-Dodd-Gibbon Equation 

Figure 3 | The 
	
		
			
				(
				𝐺
			

			
				′
			

			
				/
				𝐺
				)
			

		
	
-Expansion Method for Abundant Traveling Wave Solutions of Caudrey-Dodd-Gibbon Equation 

Mathematical Problems in Engineering

The ( 𝐺 ′ / 𝐺 ) -Expansion Method for Abundant Traveling Wave Solutions of Caudrey-Dodd-Gibbon Equation

Figure 3

The -Expansion Method for Abundant Traveling Wave Solutions of Caudrey-Dodd-Gibbon Equation