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	<id>https://www.wikiwaves.org/api.php?action=feedcontributions&amp;feedformat=atom&amp;user=Skim178</id>
	<title>WikiWaves - User contributions [en]</title>
	<link rel="self" type="application/atom+xml" href="https://www.wikiwaves.org/api.php?action=feedcontributions&amp;feedformat=atom&amp;user=Skim178"/>
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	<updated>2026-04-17T18:13:09Z</updated>
	<subtitle>User contributions</subtitle>
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	<entry>
		<id>https://www.wikiwaves.org/index.php?title=Category:Simple_Linear_Waves&amp;diff=10009</id>
		<title>Category:Simple Linear Waves</title>
		<link rel="alternate" type="text/html" href="https://www.wikiwaves.org/index.php?title=Category:Simple_Linear_Waves&amp;diff=10009"/>
		<updated>2009-09-23T16:52:37Z</updated>

		<summary type="html">&lt;p&gt;Skim178: /* Waves on a variable density string / waves on variable depth shallow water */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Introduction ==&lt;br /&gt;
&lt;br /&gt;
The principle topic of this wiki is linear water waves, however other simpler linear wave systems are discussed in some detail, especially as they relate to water wave problems.&lt;br /&gt;
&lt;br /&gt;
== Waves on a variable density string / waves on variable depth shallow water ==&lt;br /&gt;
&lt;br /&gt;
The equation is&lt;br /&gt;
{{shallow depth one dimension}}&lt;br /&gt;
&lt;br /&gt;
The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].&lt;br /&gt;
&lt;br /&gt;
== Waves on a Variable Beam ==&lt;br /&gt;
&lt;br /&gt;
{{equations for a beam}}&lt;br /&gt;
&lt;br /&gt;
The solution for this is discuss in [[Waves on a Variable Beam]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Simple Waves]]&lt;/div&gt;</summary>
		<author><name>Skim178</name></author>
	</entry>
	<entry>
		<id>https://www.wikiwaves.org/index.php?title=Category:Simple_Linear_Waves&amp;diff=10008</id>
		<title>Category:Simple Linear Waves</title>
		<link rel="alternate" type="text/html" href="https://www.wikiwaves.org/index.php?title=Category:Simple_Linear_Waves&amp;diff=10008"/>
		<updated>2009-09-23T16:52:04Z</updated>

		<summary type="html">&lt;p&gt;Skim178: /* Waves on a variable density string / waves on variable depth shallow water */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Introduction ==&lt;br /&gt;
&lt;br /&gt;
The principle topic of this wiki is linear water waves, however other simpler linear wave systems are discussed in some detail, especially as they relate to water wave problems.&lt;br /&gt;
&lt;br /&gt;
== Waves on a variable density string / waves on variable depth shallow water ==&lt;br /&gt;
&lt;br /&gt;
The equation is&lt;br /&gt;
{{shallow depth one dimension}}&lt;br /&gt;
&lt;br /&gt;
The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;JJ=\phi&#039;&#039;(y)-\alpha^{2}\phi(y)+\frac{U&#039;&#039;(y)}{U&#039;&#039;(y)-c}\phi(y)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Waves on a Variable Beam ==&lt;br /&gt;
&lt;br /&gt;
{{equations for a beam}}&lt;br /&gt;
&lt;br /&gt;
The solution for this is discuss in [[Waves on a Variable Beam]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Simple Waves]]&lt;/div&gt;</summary>
		<author><name>Skim178</name></author>
	</entry>
	<entry>
		<id>https://www.wikiwaves.org/index.php?title=Category:Simple_Linear_Waves&amp;diff=10007</id>
		<title>Category:Simple Linear Waves</title>
		<link rel="alternate" type="text/html" href="https://www.wikiwaves.org/index.php?title=Category:Simple_Linear_Waves&amp;diff=10007"/>
		<updated>2009-09-23T16:50:54Z</updated>

		<summary type="html">&lt;p&gt;Skim178: /* Waves on a variable density string / waves on variable depth shallow water */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Introduction ==&lt;br /&gt;
&lt;br /&gt;
The principle topic of this wiki is linear water waves, however other simpler linear wave systems are discussed in some detail, especially as they relate to water wave problems.&lt;br /&gt;
&lt;br /&gt;
== Waves on a variable density string / waves on variable depth shallow water ==&lt;br /&gt;
&lt;br /&gt;
The equation is&lt;br /&gt;
{{shallow depth one dimension}}&lt;br /&gt;
&lt;br /&gt;
The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;JJ=\phi&#039;&#039;-\alpha^{2}\phi+\frac{U&#039;&#039;}{U&#039;&#039;-c}\phi&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Waves on a Variable Beam ==&lt;br /&gt;
&lt;br /&gt;
{{equations for a beam}}&lt;br /&gt;
&lt;br /&gt;
The solution for this is discuss in [[Waves on a Variable Beam]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Simple Waves]]&lt;/div&gt;</summary>
		<author><name>Skim178</name></author>
	</entry>
	<entry>
		<id>https://www.wikiwaves.org/index.php?title=Category:Simple_Linear_Waves&amp;diff=10006</id>
		<title>Category:Simple Linear Waves</title>
		<link rel="alternate" type="text/html" href="https://www.wikiwaves.org/index.php?title=Category:Simple_Linear_Waves&amp;diff=10006"/>
		<updated>2009-09-23T16:50:43Z</updated>

		<summary type="html">&lt;p&gt;Skim178: /* Waves on a variable density string / waves on variable depth shallow water */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Introduction ==&lt;br /&gt;
&lt;br /&gt;
The principle topic of this wiki is linear water waves, however other simpler linear wave systems are discussed in some detail, especially as they relate to water wave problems.&lt;br /&gt;
&lt;br /&gt;
== Waves on a variable density string / waves on variable depth shallow water ==&lt;br /&gt;
&lt;br /&gt;
The equation is&lt;br /&gt;
{{shallow depth one dimension}}&lt;br /&gt;
&lt;br /&gt;
The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;JJ=\phi&#039;&#039;-\alpha^{2}\phi+\dfrac{U&#039;&#039;}{U&#039;&#039;-c}\phi&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Waves on a Variable Beam ==&lt;br /&gt;
&lt;br /&gt;
{{equations for a beam}}&lt;br /&gt;
&lt;br /&gt;
The solution for this is discuss in [[Waves on a Variable Beam]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Simple Waves]]&lt;/div&gt;</summary>
		<author><name>Skim178</name></author>
	</entry>
	<entry>
		<id>https://www.wikiwaves.org/index.php?title=Category:Simple_Linear_Waves&amp;diff=10005</id>
		<title>Category:Simple Linear Waves</title>
		<link rel="alternate" type="text/html" href="https://www.wikiwaves.org/index.php?title=Category:Simple_Linear_Waves&amp;diff=10005"/>
		<updated>2009-09-23T16:50:29Z</updated>

		<summary type="html">&lt;p&gt;Skim178: /* Waves on a variable density string / waves on variable depth shallow water */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Introduction ==&lt;br /&gt;
&lt;br /&gt;
The principle topic of this wiki is linear water waves, however other simpler linear wave systems are discussed in some detail, especially as they relate to water wave problems.&lt;br /&gt;
&lt;br /&gt;
== Waves on a variable density string / waves on variable depth shallow water ==&lt;br /&gt;
&lt;br /&gt;
The equation is&lt;br /&gt;
{{shallow depth one dimension}}&lt;br /&gt;
&lt;br /&gt;
The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;JJ=\phi&#039;&#039;-\alpha^{2}\phi+\tfrac{U&#039;&#039;}{U&#039;&#039;-c}\phi&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Waves on a Variable Beam ==&lt;br /&gt;
&lt;br /&gt;
{{equations for a beam}}&lt;br /&gt;
&lt;br /&gt;
The solution for this is discuss in [[Waves on a Variable Beam]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Simple Waves]]&lt;/div&gt;</summary>
		<author><name>Skim178</name></author>
	</entry>
	<entry>
		<id>https://www.wikiwaves.org/index.php?title=Category:Simple_Linear_Waves&amp;diff=10004</id>
		<title>Category:Simple Linear Waves</title>
		<link rel="alternate" type="text/html" href="https://www.wikiwaves.org/index.php?title=Category:Simple_Linear_Waves&amp;diff=10004"/>
		<updated>2009-09-23T16:47:56Z</updated>

		<summary type="html">&lt;p&gt;Skim178: /* Waves on a variable density string / waves on variable depth shallow water */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Introduction ==&lt;br /&gt;
&lt;br /&gt;
The principle topic of this wiki is linear water waves, however other simpler linear wave systems are discussed in some detail, especially as they relate to water wave problems.&lt;br /&gt;
&lt;br /&gt;
== Waves on a variable density string / waves on variable depth shallow water ==&lt;br /&gt;
&lt;br /&gt;
The equation is&lt;br /&gt;
{{shallow depth one dimension}}&lt;br /&gt;
&lt;br /&gt;
The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;$\phi$&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Waves on a Variable Beam ==&lt;br /&gt;
&lt;br /&gt;
{{equations for a beam}}&lt;br /&gt;
&lt;br /&gt;
The solution for this is discuss in [[Waves on a Variable Beam]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Simple Waves]]&lt;/div&gt;</summary>
		<author><name>Skim178</name></author>
	</entry>
	<entry>
		<id>https://www.wikiwaves.org/index.php?title=Category:Simple_Linear_Waves&amp;diff=10003</id>
		<title>Category:Simple Linear Waves</title>
		<link rel="alternate" type="text/html" href="https://www.wikiwaves.org/index.php?title=Category:Simple_Linear_Waves&amp;diff=10003"/>
		<updated>2009-09-23T16:47:32Z</updated>

		<summary type="html">&lt;p&gt;Skim178: /* Waves on a variable density string / waves on variable depth shallow water */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Introduction ==&lt;br /&gt;
&lt;br /&gt;
The principle topic of this wiki is linear water waves, however other simpler linear wave systems are discussed in some detail, especially as they relate to water wave problems.&lt;br /&gt;
&lt;br /&gt;
== Waves on a variable density string / waves on variable depth shallow water ==&lt;br /&gt;
&lt;br /&gt;
The equation is&lt;br /&gt;
{{shallow depth one dimension}}&lt;br /&gt;
&lt;br /&gt;
The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;$phi$&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Waves on a Variable Beam ==&lt;br /&gt;
&lt;br /&gt;
{{equations for a beam}}&lt;br /&gt;
&lt;br /&gt;
The solution for this is discuss in [[Waves on a Variable Beam]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Simple Waves]]&lt;/div&gt;</summary>
		<author><name>Skim178</name></author>
	</entry>
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